From 55444711ececb62f0a93f2a064f64c3b27f744e2 Mon Sep 17 00:00:00 2001 From: Ferruccio Guidi Date: Wed, 13 Dec 2006 19:50:03 +0000 Subject: [PATCH] - transcript: patched to generate aliases instead of inlined variables - CoRN-Decl: regenerated with aliases instead of inlined variables - content2Procedural: improved but not working yet --- .../components/binaries/transcript/engine.ml | 2 +- .../components/binaries/transcript/grafite.ml | 4 + .../content_pres/content2Procedural.ml | 26 ++- .../content_pres/content2Procedural.mli | 4 +- .../software/components/content_pres/objPp.ml | 27 ++- .../matita/contribs/CoRN-Decl/CoRN.ma | 2 + .../contribs/CoRN-Decl/algebra/Basics.ma | 20 +- .../contribs/CoRN-Decl/algebra/CAbGroups.ma | 34 ++-- .../contribs/CoRN-Decl/algebra/CAbMonoids.ma | 10 +- .../contribs/CoRN-Decl/algebra/CFields.ma | 22 +-- .../contribs/CoRN-Decl/algebra/CGroups.ma | 24 +-- .../contribs/CoRN-Decl/algebra/CLogic.ma | 12 +- .../contribs/CoRN-Decl/algebra/CMonoids.ma | 10 +- .../contribs/CoRN-Decl/algebra/COrdAbs.ma | 4 +- .../contribs/CoRN-Decl/algebra/COrdCauchy.ma | 24 +-- .../contribs/CoRN-Decl/algebra/COrdFields.ma | 12 +- .../contribs/CoRN-Decl/algebra/COrdFields2.ma | 8 +- .../CoRN-Decl/algebra/CPoly_ApZero.ma | 18 +- .../CoRN-Decl/algebra/CPoly_Degree.ma | 6 +- .../CoRN-Decl/algebra/CPoly_NthCoeff.ma | 4 +- .../CoRN-Decl/algebra/CPolynomials.ma | 16 +- .../contribs/CoRN-Decl/algebra/CRings.ma | 38 ++-- .../contribs/CoRN-Decl/algebra/CSemiGroups.ma | 18 +- .../contribs/CoRN-Decl/algebra/CSetoidFun.ma | 54 ++--- .../contribs/CoRN-Decl/algebra/CSetoidInc.ma | 14 +- .../contribs/CoRN-Decl/algebra/CSetoids.ma | 44 ++--- .../contribs/CoRN-Decl/algebra/CSums.ma | 4 +- .../CoRN-Decl/algebra/CVectorSpace.ma | 4 +- .../contribs/CoRN-Decl/algebra/Cauchy_COF.ma | 2 +- .../contribs/CoRN-Decl/algebra/Expon.ma | 8 +- .../contribs/CoRN-Decl/algebra/ListType.ma | 18 +- .../contribs/CoRN-Decl/complex/NRootCC.ma | 72 +++---- .../contribs/CoRN-Decl/devel/loeb/IDA/Ch6.ma | 66 +++---- .../matita/contribs/CoRN-Decl/fta/CC_Props.ma | 2 +- .../contribs/CoRN-Decl/fta/CPoly_Contin1.ma | 2 +- .../contribs/CoRN-Decl/fta/CPoly_Rev.ma | 4 +- .../matita/contribs/CoRN-Decl/fta/FTA.ma | 16 +- .../matita/contribs/CoRN-Decl/fta/FTAreg.ma | 52 ++--- .../matita/contribs/CoRN-Decl/fta/KeyLemma.ma | 18 +- .../contribs/CoRN-Decl/fta/KneserLemma.ma | 12 +- .../contribs/CoRN-Decl/fta/MainLemma.ma | 18 +- .../contribs/CoRN-Decl/ftc/COrdLemmas.ma | 12 +- .../contribs/CoRN-Decl/ftc/Composition.ma | 132 ++++++------- .../contribs/CoRN-Decl/ftc/Continuity.ma | 58 +++--- .../contribs/CoRN-Decl/ftc/Derivative.ma | 22 +-- .../contribs/CoRN-Decl/ftc/DerivativeOps.ma | 58 +++--- .../CoRN-Decl/ftc/Differentiability.ma | 50 ++--- .../matita/contribs/CoRN-Decl/ftc/FTC.ma | 108 +++++----- .../contribs/CoRN-Decl/ftc/FunctSequence.ma | 130 ++++++------- .../contribs/CoRN-Decl/ftc/FunctSeries.ma | 68 +++---- .../matita/contribs/CoRN-Decl/ftc/Integral.ma | 106 +++++----- .../contribs/CoRN-Decl/ftc/IntervalFunct.ma | 34 ++-- .../contribs/CoRN-Decl/ftc/MoreFunSeries.ma | 136 ++++++------- .../contribs/CoRN-Decl/ftc/MoreFunctions.ma | 130 ++++++------- .../contribs/CoRN-Decl/ftc/MoreIntegrals.ma | 64 +++--- .../contribs/CoRN-Decl/ftc/MoreIntervals.ma | 12 +- .../contribs/CoRN-Decl/ftc/NthDerivative.ma | 30 +-- .../contribs/CoRN-Decl/ftc/PartFunEquality.ma | 58 +++--- .../contribs/CoRN-Decl/ftc/PartInterval.ma | 42 ++-- .../contribs/CoRN-Decl/ftc/Partitions.ma | 72 +++---- .../matita/contribs/CoRN-Decl/ftc/RefLemma.ma | 184 +++++++++--------- .../contribs/CoRN-Decl/ftc/RefSepRef.ma | 22 +-- .../contribs/CoRN-Decl/ftc/RefSeparated.ma | 46 ++--- .../contribs/CoRN-Decl/ftc/RefSeparating.ma | 34 ++-- .../matita/contribs/CoRN-Decl/ftc/Rolle.ma | 58 +++--- .../contribs/CoRN-Decl/ftc/StrongIVT.ma | 20 +- .../matita/contribs/CoRN-Decl/ftc/Taylor.ma | 42 ++-- .../contribs/CoRN-Decl/ftc/TaylorLemma.ma | 16 +- .../matita/contribs/CoRN-Decl/ftc/WeakIVT.ma | 40 ++-- .../CoRN-Decl/metrics/CPseudoMSpaces.ma | 8 +- .../CoRN-Decl/metrics/ContFunctions.ma | 18 +- .../contribs/CoRN-Decl/metrics/IR_CPMSpace.ma | 2 +- .../CoRN-Decl/ordine_compilazione.txt | 157 +++++++++++++++ .../matita/contribs/CoRN-Decl/preamble.ma | 23 +++ .../contribs/CoRN-Decl/reals/Bridges_LUB.ma | 14 +- .../contribs/CoRN-Decl/reals/Bridges_iso.ma | 18 +- .../contribs/CoRN-Decl/reals/CMetricFields.ma | 2 +- .../contribs/CoRN-Decl/reals/CReals1.ma | 28 +-- .../contribs/CoRN-Decl/reals/CSumsReals.ma | 2 +- .../contribs/CoRN-Decl/reals/CauchySeq.ma | 2 +- .../contribs/CoRN-Decl/reals/Cauchy_CReals.ma | 4 +- .../matita/contribs/CoRN-Decl/reals/IVT.ma | 54 ++--- .../contribs/CoRN-Decl/reals/Intervals.ma | 18 +- .../contribs/CoRN-Decl/reals/Max_AbsIR.ma | 22 +-- .../contribs/CoRN-Decl/reals/NRootIR.ma | 16 +- .../contribs/CoRN-Decl/reals/OddPolyRootIR.ma | 8 +- .../contribs/CoRN-Decl/reals/Q_dense.ma | 6 +- .../contribs/CoRN-Decl/reals/Q_in_CReals.ma | 2 +- .../contribs/CoRN-Decl/reals/R_morphism.ma | 62 +++--- .../contribs/CoRN-Decl/reals/RealFuncts.ma | 4 +- .../matita/contribs/CoRN-Decl/reals/Series.ma | 48 ++--- .../contribs/CoRN-Decl/reals/iso_CReals.ma | 4 +- .../CoRN-Decl/tactics/DiffTactics2.ma | 8 +- .../CoRN-Decl/tactics/FieldReflection.ma | 20 +- .../CoRN-Decl/tactics/GroupReflection.ma | 20 +- .../CoRN-Decl/tactics/RingReflection.ma | 20 +- .../contribs/CoRN-Decl/transc/InvTrigonom.ma | 2 +- .../contribs/CoRN-Decl/transc/PowerSeries.ma | 22 +-- .../contribs/CoRN-Decl/transc/RealPowers.ma | 6 +- .../contribs/CoRN-Decl/transc/TaylorSeries.ma | 52 ++--- helm/software/matita/contribs/Makefile | 10 + helm/software/matita/contribs/prova.ma | 13 +- 102 files changed, 1719 insertions(+), 1515 deletions(-) create mode 100644 helm/software/matita/contribs/CoRN-Decl/ordine_compilazione.txt create mode 100644 helm/software/matita/contribs/CoRN-Decl/preamble.ma create mode 100644 helm/software/matita/contribs/Makefile diff --git a/helm/software/components/binaries/transcript/engine.ml b/helm/software/components/binaries/transcript/engine.ml index 61787318b..66c6c33be 100644 --- a/helm/software/components/binaries/transcript/engine.ml +++ b/helm/software/components/binaries/transcript/engine.ml @@ -213,6 +213,6 @@ let produce st = with e -> prerr_endline (Printexc.to_string e); close_in ich in - init st.input_package; + init st.input_package; require st st.input_package "preamble"; List.iter (produce st) st.files; commit st st.input_package diff --git a/helm/software/components/binaries/transcript/grafite.ml b/helm/software/components/binaries/transcript/grafite.ml index 0d89a167e..1b8c640f8 100644 --- a/helm/software/components/binaries/transcript/grafite.ml +++ b/helm/software/components/binaries/transcript/grafite.ml @@ -84,6 +84,9 @@ let coercion value = let inline (uri, prefix) = command_of_macro (G.Inline (floc, G.Declarative, uri, prefix)) +let out_alias och name uri = + Printf.fprintf och "alias id \"%s\" = \"%s\".\n\n" name uri + let commit och items = let trd (_, _, x) = x in let trd_rth (_, _, x, y) = x, y in @@ -94,6 +97,7 @@ let commit och items = | T.Include script -> out_command och (require script) | T.Coercion specs -> out_command och (coercion (snd specs)) | T.Notation specs -> out_unexported och "NOTATION" (snd specs) (**) + | T.Inline (_, T.Var, src, _) -> out_alias och (UriManager.name_of_uri (UriManager.uri_of_string src)) src | T.Inline specs -> out_command och (inline (trd_rth specs)) | T.Section specs -> out_unexported och "UNEXPORTED" (trd specs) | T.Comment comment -> out_comment och comment diff --git a/helm/software/components/content_pres/content2Procedural.ml b/helm/software/components/content_pres/content2Procedural.ml index 8306ea286..66a4370f3 100644 --- a/helm/software/components/content_pres/content2Procedural.ml +++ b/helm/software/components/content_pres/content2Procedural.ml @@ -26,28 +26,26 @@ module H = HExtlib module C = Content module G = GrafiteAst +module N = CicNotationPt (* grafite ast constructors *************************************************) let floc = H.dummy_floc let mk_note str = G.Comment (floc, G.Note (floc, str)) - -(* interface functions ******************************************************) -let out_arg = function - | C.Aux _ -> "aux" - | C.Premise _ -> "premise" - | C.Lemma _ -> "lemma" - | C.Term _ -> "term" - | C.ArgProof _ -> "proof" - | C.ArgMethod _ -> "method" +let mk_theorem name t = + let obj = N.Theorem (`Theorem, name, t, None) in + G.Executable (floc, G.Command (floc, G.Obj (floc, obj))) + +let mk_tactic tactic = + G.Executable (floc, G.Tactical (floc, G.Tactic (floc, tactic), None)) -let out_args args = String.concat " " (List.map out_arg args) +let mk_exact t = + let tactic = G.Exact (floc, t) in + mk_tactic tactic -let out_name = function - | None -> "" - | Some str -> str +(* interface functions ******************************************************) let content2procedural ~ids_to_inner_sorts prefix (_, params, xmenv, obj) = if List.length params > 0 || xmenv <> None then assert false; @@ -58,5 +56,5 @@ let content2procedural ~ids_to_inner_sorts prefix (_, params, xmenv, obj) = C.conclude_conclusion = Some b } }) -> - [mk_note (Printf.sprintf "%s" name)] + [mk_theorem name t; mk_exact b] | _ -> assert false diff --git a/helm/software/components/content_pres/content2Procedural.mli b/helm/software/components/content_pres/content2Procedural.mli index 06123000e..938d4dd6b 100644 --- a/helm/software/components/content_pres/content2Procedural.mli +++ b/helm/software/components/content_pres/content2Procedural.mli @@ -26,7 +26,7 @@ val content2procedural: ids_to_inner_sorts:(Cic.id, Cic2acic.sort_kind) Hashtbl.t -> string -> Cic.annterm Content.cobj -> - (CicNotationPt.term, CicNotationPt.term, - CicNotationPt.term GrafiteAst.reduction, CicNotationPt.term CicNotationPt.obj, string) + (Cic.annterm, Cic.annterm, + Cic.annterm GrafiteAst.reduction, Cic.annterm CicNotationPt.obj, string) GrafiteAst.statement list diff --git a/helm/software/components/content_pres/objPp.ml b/helm/software/components/content_pres/objPp.ml index 7f272c679..aa2e3a6b8 100644 --- a/helm/software/components/content_pres/objPp.ml +++ b/helm/software/components/content_pres/objPp.ml @@ -23,17 +23,36 @@ * http://helm.cs.unibo.it/ *) +let remove_closed_substs s = + Pcre.replace ~pat:"{...}" ~templ:"" s + +let term2pres n ids_to_inner_sorts annterm = + let ast, ids_to_uris = + TermAcicContent.ast_of_acic ids_to_inner_sorts annterm + in + let bobj = + CicNotationPres.box_of_mpres ( + CicNotationPres.render ids_to_uris (TermContentPres.pp_ast ast) + ) + in + let render = function _::x::_ -> x | _ -> assert false in + let mpres = CicNotationPres.mpres_of_box bobj in + let s = BoxPp.render_to_string render n mpres in + remove_closed_substs s + let obj_to_string n style prefix obj = let aobj,_,_,ids_to_inner_sorts,ids_to_inner_types,_,_ = Cic2acic.acic_object_of_cic_object obj in let cobj = Acic2content.annobj2content ids_to_inner_sorts ids_to_inner_types aobj in match style with | GrafiteAst.Declarative -> let bobj = Content2pres.content2pres ids_to_inner_sorts cobj in - BoxPp.render_to_string (function _::x::_ -> x | _ -> assert false) n (CicNotationPres.mpres_of_box bobj) + remove_closed_substs ("\n\n" ^ + BoxPp.render_to_string (function _::x::_ -> x | _ -> assert false) n (CicNotationPres.mpres_of_box bobj) + ) | GrafiteAst.Procedural -> - let term_pp = CicNotationPp.pp_term in - let lazy_term_pp = CicNotationPp.pp_term in - let obj_pp = CicNotationPp.pp_obj CicNotationPp.pp_term in + let term_pp = term2pres (n - 8) ids_to_inner_sorts in + let lazy_term_pp = term_pp in + let obj_pp = CicNotationPp.pp_obj term_pp in let aux = GrafiteAstPp.pp_statement ~term_pp ~lazy_term_pp ~obj_pp in let script = Content2Procedural.content2procedural ~ids_to_inner_sorts prefix cobj in "\n\n" ^ String.concat "" (List.map aux script) diff --git a/helm/software/matita/contribs/CoRN-Decl/CoRN.ma b/helm/software/matita/contribs/CoRN-Decl/CoRN.ma index e75ca0748..7a39a0e59 100644 --- a/helm/software/matita/contribs/CoRN-Decl/CoRN.ma +++ b/helm/software/matita/contribs/CoRN-Decl/CoRN.ma @@ -16,6 +16,8 @@ set "baseuri" "cic:/matita/CoRN-Decl/CoRN". +include "preamble.ma". + (* From algebra/Basics ****************************************************) (* NOTATION diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/Basics.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/Basics.ma index 865a3061d..327665723 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/Basics.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/Basics.ma @@ -224,9 +224,9 @@ inline "cic:/CoRN/algebra/Basics/Zmult_absorb.con". Section Well_foundedT *) -inline "cic:/CoRN/algebra/Basics/Well_foundedT/A.var" "Well_foundedT__". +alias id "A" = "cic:/CoRN/algebra/Basics/Well_foundedT/A.var". -inline "cic:/CoRN/algebra/Basics/Well_foundedT/R.var" "Well_foundedT__". +alias id "R" = "cic:/CoRN/algebra/Basics/Well_foundedT/R.var". (*#* The accessibility predicate is defined to be non-informative *) @@ -240,7 +240,7 @@ End Well_foundedT Section AccT *) -inline "cic:/CoRN/algebra/Basics/AccT/A.var" "AccT__". +alias id "A" = "cic:/CoRN/algebra/Basics/AccT/A.var". inline "cic:/CoRN/algebra/Basics/well_founded.con". @@ -256,17 +256,17 @@ Implicit Arguments Acc [A]. Section IndT *) -inline "cic:/CoRN/algebra/Basics/IndT/A.var" "IndT__". +alias id "A" = "cic:/CoRN/algebra/Basics/IndT/A.var". -inline "cic:/CoRN/algebra/Basics/IndT/R.var" "IndT__". +alias id "R" = "cic:/CoRN/algebra/Basics/IndT/R.var". (* UNEXPORTED Section AccIter *) -inline "cic:/CoRN/algebra/Basics/IndT/AccIter/P.var" "IndT__AccIter__". +alias id "P" = "cic:/CoRN/algebra/Basics/IndT/AccIter/P.var". -inline "cic:/CoRN/algebra/Basics/IndT/AccIter/F.var" "IndT__AccIter__". +alias id "F" = "cic:/CoRN/algebra/Basics/IndT/AccIter/F.var". inline "cic:/CoRN/algebra/Basics/Acc_inv.con". @@ -276,7 +276,7 @@ inline "cic:/CoRN/algebra/Basics/Acc_iter.con". End AccIter *) -inline "cic:/CoRN/algebra/Basics/IndT/Rwf.var" "IndT__". +alias id "Rwf" = "cic:/CoRN/algebra/Basics/IndT/Rwf.var". inline "cic:/CoRN/algebra/Basics/well_founded_induction_type.con". @@ -288,9 +288,9 @@ End IndT Section InductionT *) -inline "cic:/CoRN/algebra/Basics/InductionT/A.var" "InductionT__". +alias id "A" = "cic:/CoRN/algebra/Basics/InductionT/A.var". -inline "cic:/CoRN/algebra/Basics/InductionT/f.var" "InductionT__". +alias id "f" = "cic:/CoRN/algebra/Basics/InductionT/f.var". inline "cic:/CoRN/algebra/Basics/ltof.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CAbGroups.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CAbGroups.ma index 23bebc427..5548ff0a6 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CAbGroups.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CAbGroups.ma @@ -39,7 +39,7 @@ coercion cic:/matita/CoRN-Decl/algebra/CAbGroups/cag_crr.con 0 (* compounds *). Section AbGroup_Axioms *) -inline "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/AbGroup_Axioms/G.var" "Abelian_Groups__AbGroup_Axioms__". +alias id "G" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/AbGroup_Axioms/G.var". (*#* %\begin{convention}% Let [G] be an Abelian Group. @@ -64,15 +64,15 @@ Section SubCAbGroups ** Subgroups of an Abelian Group *) -inline "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/G.var" "Abelian_Groups__SubCAbGroups__". +alias id "G" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/G.var". -inline "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/P.var" "Abelian_Groups__SubCAbGroups__". +alias id "P" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/P.var". -inline "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/Punit.var" "Abelian_Groups__SubCAbGroups__". +alias id "Punit" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/Punit.var". -inline "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/op_pres_P.var" "Abelian_Groups__SubCAbGroups__". +alias id "op_pres_P" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/op_pres_P.var". -inline "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/inv_pres_P.var" "Abelian_Groups__SubCAbGroups__". +alias id "inv_pres_P" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/SubCAbGroups/inv_pres_P.var". (*#* %\begin{convention}% @@ -103,7 +103,7 @@ Section Various Hint Resolve cag_commutes_unfolded: algebra. *) -inline "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/Various/G.var" "Abelian_Groups__Various__". +alias id "G" = "cic:/CoRN/algebra/CAbGroups/Abelian_Groups/Various/G.var". (*#* %\begin{convention}% Let [G] be an Abelian Group. @@ -163,11 +163,11 @@ as a left unit, and a unary setoid function [inv] which inverts elements respective to [plus]. *) -inline "cic:/CoRN/algebra/CAbGroups/Nice_Char/S.var" "Nice_Char__". +alias id "S" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/S.var". -inline "cic:/CoRN/algebra/CAbGroups/Nice_Char/unit.var" "Nice_Char__". +alias id "unit" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/unit.var". -inline "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus.var" "Nice_Char__". +alias id "plus" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus.var". (*#* %\begin{convention}% @@ -179,17 +179,17 @@ for [plus] and [(inv x)] is a right-inverse of [x] w.r.t.%\% [plus]. %\end{convention}% *) -inline "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus_lext.var" "Nice_Char__". +alias id "plus_lext" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus_lext.var". -inline "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus_lunit.var" "Nice_Char__". +alias id "plus_lunit" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus_lunit.var". -inline "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus_comm.var" "Nice_Char__". +alias id "plus_comm" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus_comm.var". -inline "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus_assoc.var" "Nice_Char__". +alias id "plus_assoc" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/plus_assoc.var". -inline "cic:/CoRN/algebra/CAbGroups/Nice_Char/inv.var" "Nice_Char__". +alias id "inv" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/inv.var". -inline "cic:/CoRN/algebra/CAbGroups/Nice_Char/inv_inv.var" "Nice_Char__". +alias id "inv_inv" = "cic:/CoRN/algebra/CAbGroups/Nice_Char/inv_inv.var". inline "cic:/CoRN/algebra/CAbGroups/plus_rext.con". @@ -222,7 +222,7 @@ For reflection the following is needed; hopefully it is also useful. Section Group_Extras *) -inline "cic:/CoRN/algebra/CAbGroups/Group_Extras/G.var" "Group_Extras__". +alias id "G" = "cic:/CoRN/algebra/CAbGroups/Group_Extras/G.var". inline "cic:/CoRN/algebra/CAbGroups/nmult.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CAbMonoids.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CAbMonoids.ma index 7f31fc103..716750a78 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CAbMonoids.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CAbMonoids.ma @@ -39,7 +39,7 @@ coercion cic:/matita/CoRN-Decl/algebra/CAbMonoids/cam_crr.con 0 (* compounds *). Section AbMonoid_Axioms *) -inline "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/AbMonoid_Axioms/M.var" "Abelian_Monoids__AbMonoid_Axioms__". +alias id "M" = "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/AbMonoid_Axioms/M.var". (*#* %\begin{convention}% Let [M] be an abelian monoid. @@ -64,13 +64,13 @@ Section SubCAbMonoids ** Subgroups of an Abelian Monoid *) -inline "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/M.var" "Abelian_Monoids__SubCAbMonoids__". +alias id "M" = "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/M.var". -inline "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/P.var" "Abelian_Monoids__SubCAbMonoids__". +alias id "P" = "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/P.var". -inline "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/Punit.var" "Abelian_Monoids__SubCAbMonoids__". +alias id "Punit" = "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/Punit.var". -inline "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/op_pres_P.var" "Abelian_Monoids__SubCAbMonoids__". +alias id "op_pres_P" = "cic:/CoRN/algebra/CAbMonoids/Abelian_Monoids/SubCAbMonoids/op_pres_P.var". (*#* %\begin{convention}% diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CFields.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CFields.ma index 2daac721e..8f9f5b7a0 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CFields.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CFields.ma @@ -188,7 +188,7 @@ write [e[/] (Snring n)] and [e[/]TwoNZ], [e[/]ThreeNZ] and so on. Section Field_axioms *) -inline "cic:/CoRN/algebra/CFields/Field_axioms/F.var" "Field_axioms__". +alias id "F" = "cic:/CoRN/algebra/CFields/Field_axioms/F.var". inline "cic:/CoRN/algebra/CFields/CField_is_CField.con". @@ -207,7 +207,7 @@ Section Field_basics %\end{convention}% *) -inline "cic:/CoRN/algebra/CFields/Field_basics/F.var" "Field_basics__". +alias id "F" = "cic:/CoRN/algebra/CFields/Field_basics/F.var". inline "cic:/CoRN/algebra/CFields/rcpcl_is_inverse_unfolded.con". @@ -237,7 +237,7 @@ Section Field_multiplication %\end{convention}% *) -inline "cic:/CoRN/algebra/CFields/Field_multiplication/F.var" "Field_multiplication__". +alias id "F" = "cic:/CoRN/algebra/CFields/Field_multiplication/F.var". inline "cic:/CoRN/algebra/CFields/mult_resp_ap_zero.con". @@ -291,7 +291,7 @@ Section Rcpcl_properties %\end{convention}% *) -inline "cic:/CoRN/algebra/CFields/Rcpcl_properties/F.var" "Rcpcl_properties__". +alias id "F" = "cic:/CoRN/algebra/CFields/Rcpcl_properties/F.var". inline "cic:/CoRN/algebra/CFields/inv_one.con". @@ -317,7 +317,7 @@ Section MultipGroup %\end{convention}% *) -inline "cic:/CoRN/algebra/CFields/MultipGroup/F.var" "MultipGroup__". +alias id "F" = "cic:/CoRN/algebra/CFields/MultipGroup/F.var". (*#* The multiplicative monoid of NonZeros. @@ -350,7 +350,7 @@ In the names of lemmas, we denote [[/]] by [div], and %\end{nameconvention}% *) -inline "cic:/CoRN/algebra/CFields/Div_properties/F.var" "Div_properties__". +alias id "F" = "cic:/CoRN/algebra/CFields/Div_properties/F.var". inline "cic:/CoRN/algebra/CFields/div_prop.con". @@ -448,7 +448,7 @@ Hint Resolve div_1 div_1' div_1'' div_wd x_div_x x_div_one div_div div_div2 Section Mult_Cancel_Ap_Zero *) -inline "cic:/CoRN/algebra/CFields/Mult_Cancel_Ap_Zero/F.var" "Mult_Cancel_Ap_Zero__". +alias id "F" = "cic:/CoRN/algebra/CFields/Mult_Cancel_Ap_Zero/F.var". inline "cic:/CoRN/algebra/CFields/mult_cancel_ap_zero_lft.con". @@ -480,11 +480,11 @@ Let [X] be a Field and [F,G:(PartFunct X)] have domains respectively %\end{convention}% *) -inline "cic:/CoRN/algebra/CFields/CField_Ops/X.var" "CField_Ops__". +alias id "X" = "cic:/CoRN/algebra/CFields/CField_Ops/X.var". -inline "cic:/CoRN/algebra/CFields/CField_Ops/F.var" "CField_Ops__". +alias id "F" = "cic:/CoRN/algebra/CFields/CField_Ops/F.var". -inline "cic:/CoRN/algebra/CFields/CField_Ops/G.var" "CField_Ops__". +alias id "G" = "cic:/CoRN/algebra/CFields/CField_Ops/G.var". (* begin hide *) @@ -543,7 +543,7 @@ End Part_Function_Div %\end{convention}% *) -inline "cic:/CoRN/algebra/CFields/CField_Ops/R.var" "CField_Ops__". +alias id "R" = "cic:/CoRN/algebra/CFields/CField_Ops/R.var". inline "cic:/CoRN/algebra/CFields/included_FRecip.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CGroups.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CGroups.ma index 232c258e5..67d508c12 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CGroups.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CGroups.ma @@ -90,7 +90,7 @@ Infix "[-]" := cg_minus (at level 50, left associativity). Section CGroup_axioms *) -inline "cic:/CoRN/algebra/CGroups/CGroup_axioms/G.var" "CGroup_axioms__". +alias id "G" = "cic:/CoRN/algebra/CGroups/CGroup_axioms/G.var". inline "cic:/CoRN/algebra/CGroups/cg_inverse.con". @@ -109,7 +109,7 @@ General properties of groups. Section CGroup_basics *) -inline "cic:/CoRN/algebra/CGroups/CGroup_basics/G.var" "CGroup_basics__". +alias id "G" = "cic:/CoRN/algebra/CGroups/CGroup_basics/G.var". inline "cic:/CoRN/algebra/CGroups/cg_rht_inv_unfolded.con". @@ -191,13 +191,13 @@ inline "cic:/CoRN/algebra/CGroups/x_minus_x.con". Section SubCGroups *) -inline "cic:/CoRN/algebra/CGroups/CGroup_basics/SubCGroups/P.var" "CGroup_basics__SubCGroups__". +alias id "P" = "cic:/CoRN/algebra/CGroups/CGroup_basics/SubCGroups/P.var". -inline "cic:/CoRN/algebra/CGroups/CGroup_basics/SubCGroups/Punit.var" "CGroup_basics__SubCGroups__". +alias id "Punit" = "cic:/CoRN/algebra/CGroups/CGroup_basics/SubCGroups/Punit.var". -inline "cic:/CoRN/algebra/CGroups/CGroup_basics/SubCGroups/op_pres_P.var" "CGroup_basics__SubCGroups__". +alias id "op_pres_P" = "cic:/CoRN/algebra/CGroups/CGroup_basics/SubCGroups/op_pres_P.var". -inline "cic:/CoRN/algebra/CGroups/CGroup_basics/SubCGroups/inv_pres_P.var" "CGroup_basics__SubCGroups__". +alias id "inv_pres_P" = "cic:/CoRN/algebra/CGroups/CGroup_basics/SubCGroups/inv_pres_P.var". inline "cic:/CoRN/algebra/CGroups/CGroup_basics/SubCGroups/subcrr.con" "CGroup_basics__SubCGroups__". @@ -241,7 +241,7 @@ Hint Resolve cg_minus_wd: algebra_c. Section Assoc_properties *) -inline "cic:/CoRN/algebra/CGroups/Assoc_properties/G.var" "Assoc_properties__". +alias id "G" = "cic:/CoRN/algebra/CGroups/Assoc_properties/G.var". inline "cic:/CoRN/algebra/CGroups/assoc_2.con". @@ -271,7 +271,7 @@ Specific properties of apartness. Section cgroups_apartness *) -inline "cic:/CoRN/algebra/CGroups/cgroups_apartness/G.var" "cgroups_apartness__". +alias id "G" = "cic:/CoRN/algebra/CGroups/cgroups_apartness/G.var". inline "cic:/CoRN/algebra/CGroups/cg_add_ap_zero.con". @@ -322,11 +322,11 @@ by [P] and [Q]. %\end{convention}% *) -inline "cic:/CoRN/algebra/CGroups/CGroup_Ops/G.var" "CGroup_Ops__". +alias id "G" = "cic:/CoRN/algebra/CGroups/CGroup_Ops/G.var". -inline "cic:/CoRN/algebra/CGroups/CGroup_Ops/F.var" "CGroup_Ops__". +alias id "F" = "cic:/CoRN/algebra/CGroups/CGroup_Ops/F.var". -inline "cic:/CoRN/algebra/CGroups/CGroup_Ops/F'.var" "CGroup_Ops__". +alias id "F'" = "cic:/CoRN/algebra/CGroups/CGroup_Ops/F'.var". (* begin hide *) @@ -365,7 +365,7 @@ End Part_Function_Minus %\end{convention}% *) -inline "cic:/CoRN/algebra/CGroups/CGroup_Ops/R.var" "CGroup_Ops__". +alias id "R" = "cic:/CoRN/algebra/CGroups/CGroup_Ops/R.var". inline "cic:/CoRN/algebra/CGroups/included_FInv.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CLogic.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CLogic.ma index d0799ff30..b1d55aa9a 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CLogic.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CLogic.ma @@ -217,7 +217,7 @@ Section Choice Let [P] be a predicate on $\NN^2$#N times N#. *) -inline "cic:/CoRN/algebra/CLogic/Choice/P.var" "Choice__". +alias id "P" = "cic:/CoRN/algebra/CLogic/Choice/P.var". inline "cic:/CoRN/algebra/CLogic/choice.con". @@ -252,11 +252,11 @@ Similar to Relations.v in Coq's standard library. %\end{convention}% *) -inline "cic:/CoRN/algebra/CLogic/CRelation_Definition/A.var" "CRelation_Definition__". +alias id "A" = "cic:/CoRN/algebra/CLogic/CRelation_Definition/A.var". inline "cic:/CoRN/algebra/CLogic/Crelation.con". -inline "cic:/CoRN/algebra/CLogic/CRelation_Definition/R.var" "CRelation_Definition__". +alias id "R" = "cic:/CoRN/algebra/CLogic/CRelation_Definition/R.var". inline "cic:/CoRN/algebra/CLogic/Creflexive.con". @@ -281,11 +281,11 @@ Analogous. %\end{convention}% *) -inline "cic:/CoRN/algebra/CLogic/TRelation_Definition/A.var" "TRelation_Definition__". +alias id "A" = "cic:/CoRN/algebra/CLogic/TRelation_Definition/A.var". inline "cic:/CoRN/algebra/CLogic/Trelation.con". -inline "cic:/CoRN/algebra/CLogic/TRelation_Definition/R.var" "TRelation_Definition__". +alias id "R" = "cic:/CoRN/algebra/CLogic/TRelation_Definition/R.var". inline "cic:/CoRN/algebra/CLogic/Treflexive.con". @@ -467,7 +467,7 @@ inline "cic:/CoRN/algebra/CLogic/plus_pred_pred_plus.con". %\end{convention}% *) -inline "cic:/CoRN/algebra/CLogic/Natural_Numbers/h.var" "Natural_Numbers__". +alias id "h" = "cic:/CoRN/algebra/CLogic/Natural_Numbers/h.var". (*#* First we characterize monotonicity by a local condition: if [h(n) < h(n+1)] diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CMonoids.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CMonoids.ma index f5d746e6a..d7a0d53ab 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CMonoids.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CMonoids.ma @@ -92,7 +92,7 @@ Implicit Arguments nonZeroP [M]. Section CMonoid_axioms *) -inline "cic:/CoRN/algebra/CMonoids/CMonoid_axioms/M.var" "CMonoid_axioms__". +alias id "M" = "cic:/CoRN/algebra/CMonoids/CMonoid_axioms/M.var". inline "cic:/CoRN/algebra/CMonoids/CMonoid_is_CMonoid.con". @@ -114,7 +114,7 @@ End CMonoid_axioms Section CMonoid_basics *) -inline "cic:/CoRN/algebra/CMonoids/CMonoid_basics/M.var" "CMonoid_basics__". +alias id "M" = "cic:/CoRN/algebra/CMonoids/CMonoid_basics/M.var". inline "cic:/CoRN/algebra/CMonoids/cm_rht_unit_unfolded.con". @@ -149,11 +149,11 @@ Let [P] a predicate on [M] containing [Zero] and closed under [[+]]. Section SubCMonoids *) -inline "cic:/CoRN/algebra/CMonoids/CMonoid_basics/SubCMonoids/P.var" "CMonoid_basics__SubCMonoids__". +alias id "P" = "cic:/CoRN/algebra/CMonoids/CMonoid_basics/SubCMonoids/P.var". -inline "cic:/CoRN/algebra/CMonoids/CMonoid_basics/SubCMonoids/Punit.var" "CMonoid_basics__SubCMonoids__". +alias id "Punit" = "cic:/CoRN/algebra/CMonoids/CMonoid_basics/SubCMonoids/Punit.var". -inline "cic:/CoRN/algebra/CMonoids/CMonoid_basics/SubCMonoids/op_pres_P.var" "CMonoid_basics__SubCMonoids__". +alias id "op_pres_P" = "cic:/CoRN/algebra/CMonoids/CMonoid_basics/SubCMonoids/op_pres_P.var". inline "cic:/CoRN/algebra/CMonoids/CMonoid_basics/SubCMonoids/subcrr.con" "CMonoid_basics__SubCMonoids__". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/COrdAbs.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/COrdAbs.ma index b8901d261..5f3481689 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/COrdAbs.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/COrdAbs.ma @@ -43,7 +43,7 @@ Section AbsSmall_properties %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_properties/R.var" "AbsSmall_properties__". +alias id "R" = "cic:/CoRN/algebra/COrdAbs/AbsSmall_properties/R.var". inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdr.con". @@ -136,7 +136,7 @@ Section absBig_wd_properties %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdAbs/absBig_wd_properties/R.var" "absBig_wd_properties__". +alias id "R" = "cic:/CoRN/algebra/COrdAbs/absBig_wd_properties/R.var". inline "cic:/CoRN/algebra/COrdAbs/AbsBig_wdr.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/COrdCauchy.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/COrdCauchy.ma index 9cfd863a7..14f20ea02 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/COrdCauchy.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/COrdCauchy.ma @@ -31,7 +31,7 @@ Section OrdField_Cauchy %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/R.var" "OrdField_Cauchy__". +alias id "R" = "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/R.var". (* begin hide *) @@ -95,13 +95,13 @@ inline "cic:/CoRN/algebra/COrdCauchy/CS_seq_const.con". %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/f.var" "OrdField_Cauchy__". +alias id "f" = "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/f.var". -inline "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/g.var" "OrdField_Cauchy__". +alias id "g" = "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/g.var". -inline "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/Hf.var" "OrdField_Cauchy__". +alias id "Hf" = "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/Hf.var". -inline "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/Hg.var" "OrdField_Cauchy__". +alias id "Hg" = "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/Hg.var". inline "cic:/CoRN/algebra/COrdCauchy/CS_seq_plus.con". @@ -121,13 +121,13 @@ Let [e] be a postive element of [R] and let [N:nat] be such that from %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/e.var" "OrdField_Cauchy__". +alias id "e" = "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/e.var". -inline "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/He.var" "OrdField_Cauchy__". +alias id "He" = "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/He.var". -inline "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/N.var" "OrdField_Cauchy__". +alias id "N" = "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/N.var". -inline "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/f_bnd.var" "OrdField_Cauchy__". +alias id "f_bnd" = "cic:/CoRN/algebra/COrdCauchy/OrdField_Cauchy/f_bnd.var". inline "cic:/CoRN/algebra/COrdCauchy/CS_seq_recip_def.con". @@ -154,7 +154,7 @@ inline "cic:/CoRN/algebra/COrdCauchy/maj_upto_eps.con". Section Mult_AbsSmall *) -inline "cic:/CoRN/algebra/COrdCauchy/Mult_AbsSmall/R.var" "Mult_AbsSmall__". +alias id "R" = "cic:/CoRN/algebra/COrdCauchy/Mult_AbsSmall/R.var". (*#* ** [AbsSmall] revisited @@ -178,7 +178,7 @@ End Mult_AbsSmall Section Mult_Continuous *) -inline "cic:/CoRN/algebra/COrdCauchy/Mult_Continuous/R.var" "Mult_Continuous__". +alias id "R" = "cic:/CoRN/algebra/COrdCauchy/Mult_Continuous/R.var". (*#* ** Multiplication is continuous @@ -214,7 +214,7 @@ characterize them in some way. %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdCauchy/Monotonous_functions/R.var" "Monotonous_functions__". +alias id "R" = "cic:/CoRN/algebra/COrdCauchy/Monotonous_functions/R.var". (*#* We begin by characterizing the preservation of less (less or equal) diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/COrdFields.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/COrdFields.ma index a85dc1128..cb6476676 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/COrdFields.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/COrdFields.ma @@ -144,7 +144,7 @@ Let [F] be a field. %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdFields/COrdField_axioms/F.var" "COrdField_axioms__". +alias id "F" = "cic:/CoRN/algebra/COrdFields/COrdField_axioms/F.var". inline "cic:/CoRN/algebra/COrdFields/COrdField_is_COrdField.con". @@ -195,7 +195,7 @@ Let in the rest of this section (and all subsections) %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdFields/OrdField_basics/R.var" "OrdField_basics__". +alias id "R" = "cic:/CoRN/algebra/COrdFields/OrdField_basics/R.var". inline "cic:/CoRN/algebra/COrdFields/less_imp_ap.con". @@ -232,7 +232,7 @@ Section Basic_Properties_of_leEq (*#* ** Basic properties of [ [<=] ] *) -inline "cic:/CoRN/algebra/COrdFields/Basic_Properties_of_leEq/R.var" "Basic_Properties_of_leEq__". +alias id "R" = "cic:/CoRN/algebra/COrdFields/Basic_Properties_of_leEq/R.var". inline "cic:/CoRN/algebra/COrdFields/leEq_wdr.con". @@ -288,7 +288,7 @@ and so on. These are elements of [NonZeros], so that we can write e.g.%\% [x[/]TwoNZ]. *) -inline "cic:/CoRN/algebra/COrdFields/infinity_of_cordfields/R.var" "infinity_of_cordfields__". +alias id "R" = "cic:/CoRN/algebra/COrdFields/infinity_of_cordfields/R.var". inline "cic:/CoRN/algebra/COrdFields/pos_one.con". @@ -474,7 +474,7 @@ Section consequences_of_infinity *** Consequences of infinity *) -inline "cic:/CoRN/algebra/COrdFields/consequences_of_infinity/F.var" "consequences_of_infinity__". +alias id "F" = "cic:/CoRN/algebra/COrdFields/consequences_of_infinity/F.var". inline "cic:/CoRN/algebra/COrdFields/square_eq.con". @@ -500,7 +500,7 @@ Section Properties_of_Ordering ** Properties of [[<]] *) -inline "cic:/CoRN/algebra/COrdFields/Properties_of_Ordering/R.var" "Properties_of_Ordering__". +alias id "R" = "cic:/CoRN/algebra/COrdFields/Properties_of_Ordering/R.var". (*#* We do not use a special predicate for positivity, diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/COrdFields2.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/COrdFields2.ma index 3671078fa..655f7554d 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/COrdFields2.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/COrdFields2.ma @@ -38,7 +38,7 @@ Section Properties_of_leEq %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdFields2/Properties_of_leEq/R.var" "Properties_of_leEq__". +alias id "R" = "cic:/CoRN/algebra/COrdFields2/Properties_of_leEq/R.var". (* UNEXPORTED Section addition @@ -248,7 +248,7 @@ Section PosP_properties %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdFields2/PosP_properties/R.var" "PosP_properties__". +alias id "R" = "cic:/CoRN/algebra/COrdFields2/PosP_properties/R.var". (* begin hide *) @@ -312,7 +312,7 @@ Implicit Arguments one_div_succ [R]. Section One_div_succ_properties *) -inline "cic:/CoRN/algebra/COrdFields2/One_div_succ_properties/R.var" "One_div_succ_properties__". +alias id "R" = "cic:/CoRN/algebra/COrdFields2/One_div_succ_properties/R.var". inline "cic:/CoRN/algebra/COrdFields2/one_div_succ_resp_leEq.con". @@ -344,7 +344,7 @@ Let [R] be an ordered field. %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdFields2/Half_properties/R.var" "Half_properties__". +alias id "R" = "cic:/CoRN/algebra/COrdFields2/Half_properties/R.var". inline "cic:/CoRN/algebra/COrdFields2/half_1.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CPoly_ApZero.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CPoly_ApZero.ma index 5878f1663..9a72ec02a 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CPoly_ApZero.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CPoly_ApZero.ma @@ -45,17 +45,17 @@ has degree at most [n]. %\end{convention}% *) -inline "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/R.var" "Poly_Representation__". +alias id "R" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/R.var". -inline "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/a_.var" "Poly_Representation__". +alias id "a_" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/a_.var". -inline "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/distinct_a_.var" "Poly_Representation__". +alias id "distinct_a_" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/distinct_a_.var". -inline "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/f.var" "Poly_Representation__". +alias id "f" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/f.var". -inline "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/n.var" "Poly_Representation__". +alias id "n" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/n.var". -inline "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/degree_f.var" "Poly_Representation__". +alias id "degree_f" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_Representation/degree_f.var". (* begin hide *) @@ -140,11 +140,11 @@ If we are in a field of characteristic zero, the previous result can be strengthened. *) -inline "cic:/CoRN/algebra/CPoly_ApZero/Characteristic_zero/R.var" "Characteristic_zero__". +alias id "R" = "cic:/CoRN/algebra/CPoly_ApZero/Characteristic_zero/R.var". (* begin show *) -inline "cic:/CoRN/algebra/CPoly_ApZero/Characteristic_zero/H.var" "Characteristic_zero__". +alias id "H" = "cic:/CoRN/algebra/CPoly_ApZero/Characteristic_zero/H.var". (* end show *) @@ -176,7 +176,7 @@ End Characteristic_zero Section Poly_ApZero_Interval *) -inline "cic:/CoRN/algebra/CPoly_ApZero/Poly_ApZero_Interval/R.var" "Poly_ApZero_Interval__". +alias id "R" = "cic:/CoRN/algebra/CPoly_ApZero/Poly_ApZero_Interval/R.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CPoly_Degree.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CPoly_Degree.ma index 55a65deeb..79ec88e17 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CPoly_Degree.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CPoly_Degree.ma @@ -36,7 +36,7 @@ over [R]. Section Degree_def *) -inline "cic:/CoRN/algebra/CPoly_Degree/Degree_def/R.var" "Degree_def__". +alias id "R" = "cic:/CoRN/algebra/CPoly_Degree/Degree_def/R.var". (* begin hide *) @@ -108,7 +108,7 @@ Implicit Arguments lth_of_poly [R]. Section Degree_props *) -inline "cic:/CoRN/algebra/CPoly_Degree/Degree_props/R.var" "Degree_props__". +alias id "R" = "cic:/CoRN/algebra/CPoly_Degree/Degree_props/R.var". (* begin hide *) @@ -222,7 +222,7 @@ polynomials over [F]. %\end{convention}% *) -inline "cic:/CoRN/algebra/CPoly_Degree/degree_props_Field/F.var" "degree_props_Field__". +alias id "F" = "cic:/CoRN/algebra/CPoly_Degree/degree_props_Field/F.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CPoly_NthCoeff.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CPoly_NthCoeff.ma index 6e51655a7..c72a7aee6 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CPoly_NthCoeff.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CPoly_NthCoeff.ma @@ -35,7 +35,7 @@ polynomials over [R]. Section NthCoeff_def *) -inline "cic:/CoRN/algebra/CPoly_NthCoeff/NthCoeff_def/R.var" "NthCoeff_def__". +alias id "R" = "cic:/CoRN/algebra/CPoly_NthCoeff/NthCoeff_def/R.var". (* begin hide *) @@ -115,7 +115,7 @@ Section NthCoeff_props (*#* ** Properties of [nth_coeff] *) -inline "cic:/CoRN/algebra/CPoly_NthCoeff/NthCoeff_props/R.var" "NthCoeff_props__". +alias id "R" = "cic:/CoRN/algebra/CPoly_NthCoeff/NthCoeff_props/R.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CPolynomials.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CPolynomials.ma index 033a79f4d..bd621debb 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CPolynomials.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CPolynomials.ma @@ -50,7 +50,7 @@ Section CPoly_CRing %\end{convention}% *) -inline "cic:/CoRN/algebra/CPolynomials/CPoly_CRing/CR.var" "CPoly_CRing__". +alias id "CR" = "cic:/CoRN/algebra/CPolynomials/CPoly_CRing/CR.var". (*#* The intuition behind the type [cpoly] is the following @@ -354,7 +354,7 @@ elements of the ring. %\end{convention}% *) -inline "cic:/CoRN/algebra/CPolynomials/CPoly_CRing_ctd/CR.var" "CPoly_CRing_ctd__". +alias id "CR" = "cic:/CoRN/algebra/CPolynomials/CPoly_CRing_ctd/CR.var". (* NOTATION Notation RX := (cpoly_cring CR). @@ -364,13 +364,13 @@ Notation RX := (cpoly_cring CR). Section helpful_section *) -inline "cic:/CoRN/algebra/CPolynomials/CPoly_CRing_ctd/helpful_section/p.var" "CPoly_CRing_ctd__helpful_section__". +alias id "p" = "cic:/CoRN/algebra/CPolynomials/CPoly_CRing_ctd/helpful_section/p.var". -inline "cic:/CoRN/algebra/CPolynomials/CPoly_CRing_ctd/helpful_section/q.var" "CPoly_CRing_ctd__helpful_section__". +alias id "q" = "cic:/CoRN/algebra/CPolynomials/CPoly_CRing_ctd/helpful_section/q.var". -inline "cic:/CoRN/algebra/CPolynomials/CPoly_CRing_ctd/helpful_section/c.var" "CPoly_CRing_ctd__helpful_section__". +alias id "c" = "cic:/CoRN/algebra/CPolynomials/CPoly_CRing_ctd/helpful_section/c.var". -inline "cic:/CoRN/algebra/CPolynomials/CPoly_CRing_ctd/helpful_section/d.var" "CPoly_CRing_ctd__helpful_section__". +alias id "d" = "cic:/CoRN/algebra/CPolynomials/CPoly_CRing_ctd/helpful_section/d.var". inline "cic:/CoRN/algebra/CPolynomials/linear_eq_zero_.con". @@ -474,7 +474,7 @@ Let [R] be a ring and write [RX] for the ring of polynomials over [R]. Section Poly_properties *) -inline "cic:/CoRN/algebra/CPolynomials/Poly_properties/R.var" "Poly_properties__". +alias id "R" = "cic:/CoRN/algebra/CPolynomials/Poly_properties/R.var". (* NOTATION Notation RX := (cpoly_cring R). @@ -592,7 +592,7 @@ End Poly_properties Section Poly_Prop_Induction *) -inline "cic:/CoRN/algebra/CPolynomials/Poly_Prop_Induction/CR.var" "Poly_Prop_Induction__". +alias id "CR" = "cic:/CoRN/algebra/CPolynomials/Poly_Prop_Induction/CR.var". (* NOTATION Notation Cpoly := (cpoly CR). diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CRings.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CRings.ma index 64f84532b..2aa33c7d2 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CRings.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CRings.ma @@ -124,7 +124,7 @@ Section CRing_axioms %\end{convention}% *) -inline "cic:/CoRN/algebra/CRings/CRing_axioms/R.var" "CRing_axioms__". +alias id "R" = "cic:/CoRN/algebra/CRings/CRing_axioms/R.var". inline "cic:/CoRN/algebra/CRings/CRing_is_CRing.con". @@ -163,7 +163,7 @@ Let [R] be a ring. %\end{convention}% *) -inline "cic:/CoRN/algebra/CRings/Ring_constructions/R.var" "Ring_constructions__". +alias id "R" = "cic:/CoRN/algebra/CRings/Ring_constructions/R.var". (*#* The multiplicative monoid of a ring is defined as follows. @@ -187,7 +187,7 @@ Section Ring_unfolded %\end{convention}% *) -inline "cic:/CoRN/algebra/CRings/Ring_unfolded/R.var" "Ring_unfolded__". +alias id "R" = "cic:/CoRN/algebra/CRings/Ring_unfolded/R.var". (* begin hide *) @@ -241,7 +241,7 @@ Section Ring_basics %\end{convention}% *) -inline "cic:/CoRN/algebra/CRings/Ring_basics/R.var" "Ring_basics__". +alias id "R" = "cic:/CoRN/algebra/CRings/Ring_basics/R.var". inline "cic:/CoRN/algebra/CRings/one_ap_zero.con". @@ -344,7 +344,7 @@ Let [R] be a ring. %\end{convention}% *) -inline "cic:/CoRN/algebra/CRings/exponentiation/R.var" "exponentiation__". +alias id "R" = "cic:/CoRN/algebra/CRings/exponentiation/R.var". (* End_SpecReals *) @@ -384,7 +384,7 @@ Section nat_injection %\end{convention}% *) -inline "cic:/CoRN/algebra/CRings/nat_injection/R.var" "nat_injection__". +alias id "R" = "cic:/CoRN/algebra/CRings/nat_injection/R.var". (*#* The injection of Coq natural numbers into a ring is called [nring]. @@ -491,7 +491,7 @@ Let [R] be a ring. %\end{convention}% *) -inline "cic:/CoRN/algebra/CRings/int_injection/R.var" "int_injection__". +alias id "R" = "cic:/CoRN/algebra/CRings/int_injection/R.var". (*#* The injection of Coq integers into a ring is called [zring]. Again, @@ -644,7 +644,7 @@ Section Ring_sums %\end{convention}% *) -inline "cic:/CoRN/algebra/CRings/Ring_sums/R.var" "Ring_sums__". +alias id "R" = "cic:/CoRN/algebra/CRings/Ring_sums/R.var". (*#* *** Infinite Ring sums @@ -707,7 +707,7 @@ Let [R] be a ring. Section Dist_properties *) -inline "cic:/CoRN/algebra/CRings/Dist_properties/R.var" "Dist_properties__". +alias id "R" = "cic:/CoRN/algebra/CRings/Dist_properties/R.var". inline "cic:/CoRN/algebra/CRings/dist_1b.con". @@ -763,7 +763,7 @@ Let [R] be a ring. Section NExp_properties *) -inline "cic:/CoRN/algebra/CRings/NExp_properties/R.var" "NExp_properties__". +alias id "R" = "cic:/CoRN/algebra/CRings/NExp_properties/R.var". inline "cic:/CoRN/algebra/CRings/nexp_wd.con". @@ -889,11 +889,11 @@ respectively [P] and [Q]. %\end{convention}% *) -inline "cic:/CoRN/algebra/CRings/CRing_Ops/R.var" "CRing_Ops__". +alias id "R" = "cic:/CoRN/algebra/CRings/CRing_Ops/R.var". -inline "cic:/CoRN/algebra/CRings/CRing_Ops/F.var" "CRing_Ops__". +alias id "F" = "cic:/CoRN/algebra/CRings/CRing_Ops/F.var". -inline "cic:/CoRN/algebra/CRings/CRing_Ops/G.var" "CRing_Ops__". +alias id "G" = "cic:/CoRN/algebra/CRings/CRing_Ops/G.var". (* begin hide *) @@ -919,7 +919,7 @@ End Part_Function_Mult Section Part_Function_Nth_Power *) -inline "cic:/CoRN/algebra/CRings/CRing_Ops/Part_Function_Nth_Power/n.var" "CRing_Ops__Part_Function_Nth_Power__". +alias id "n" = "cic:/CoRN/algebra/CRings/CRing_Ops/Part_Function_Nth_Power/n.var". inline "cic:/CoRN/algebra/CRings/part_function_nth_strext.con". @@ -934,7 +934,7 @@ End Part_Function_Nth_Power %\end{convention}% *) -inline "cic:/CoRN/algebra/CRings/CRing_Ops/R'.var" "CRing_Ops__". +alias id "R'" = "cic:/CoRN/algebra/CRings/CRing_Ops/R'.var". inline "cic:/CoRN/algebra/CRings/included_FMult.con". @@ -942,7 +942,7 @@ inline "cic:/CoRN/algebra/CRings/included_FMult'.con". inline "cic:/CoRN/algebra/CRings/included_FMult''.con". -inline "cic:/CoRN/algebra/CRings/CRing_Ops/n.var" "CRing_Ops__". +alias id "n" = "cic:/CoRN/algebra/CRings/CRing_Ops/n.var". inline "cic:/CoRN/algebra/CRings/included_FNth.con". @@ -982,9 +982,9 @@ Infix "{^}" := Fnth (at level 30, right associativity). Section ScalarMultiplication *) -inline "cic:/CoRN/algebra/CRings/ScalarMultiplication/R.var" "ScalarMultiplication__". +alias id "R" = "cic:/CoRN/algebra/CRings/ScalarMultiplication/R.var". -inline "cic:/CoRN/algebra/CRings/ScalarMultiplication/F.var" "ScalarMultiplication__". +alias id "F" = "cic:/CoRN/algebra/CRings/ScalarMultiplication/F.var". (* begin hide *) @@ -992,7 +992,7 @@ inline "cic:/CoRN/algebra/CRings/ScalarMultiplication/P.con" "ScalarMultiplicati (* end hide *) -inline "cic:/CoRN/algebra/CRings/ScalarMultiplication/R'.var" "ScalarMultiplication__". +alias id "R'" = "cic:/CoRN/algebra/CRings/ScalarMultiplication/R'.var". inline "cic:/CoRN/algebra/CRings/included_FScalMult.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CSemiGroups.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CSemiGroups.ma index d1ad410c6..e107fad24 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CSemiGroups.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CSemiGroups.ma @@ -66,7 +66,7 @@ The axiomatic properties of a semi group. Section CSemiGroup_axioms *) -inline "cic:/CoRN/algebra/CSemiGroups/CSemiGroup_axioms/G.var" "CSemiGroup_axioms__". +alias id "G" = "cic:/CoRN/algebra/CSemiGroups/CSemiGroup_axioms/G.var". inline "cic:/CoRN/algebra/CSemiGroups/CSemiGroup_is_CSemiGroup.con". @@ -89,7 +89,7 @@ Let [G] be a semi-group. Section CSemiGroup_basics *) -inline "cic:/CoRN/algebra/CSemiGroups/CSemiGroup_basics/G.var" "CSemiGroup_basics__". +alias id "G" = "cic:/CoRN/algebra/CSemiGroups/CSemiGroup_basics/G.var". (* End_SpecReals *) @@ -121,11 +121,11 @@ At this stage, we will always consider automorphisms; we %{\em %could%}% treat t Section Part_Function_Plus *) -inline "cic:/CoRN/algebra/CSemiGroups/Part_Function_Plus/G.var" "Part_Function_Plus__". +alias id "G" = "cic:/CoRN/algebra/CSemiGroups/Part_Function_Plus/G.var". -inline "cic:/CoRN/algebra/CSemiGroups/Part_Function_Plus/F.var" "Part_Function_Plus__". +alias id "F" = "cic:/CoRN/algebra/CSemiGroups/Part_Function_Plus/F.var". -inline "cic:/CoRN/algebra/CSemiGroups/Part_Function_Plus/F'.var" "Part_Function_Plus__". +alias id "F'" = "cic:/CoRN/algebra/CSemiGroups/Part_Function_Plus/F'.var". (* begin hide *) @@ -144,7 +144,7 @@ inline "cic:/CoRN/algebra/CSemiGroups/Fplus.con". %\end{convention}% *) -inline "cic:/CoRN/algebra/CSemiGroups/Part_Function_Plus/R.var" "Part_Function_Plus__". +alias id "R" = "cic:/CoRN/algebra/CSemiGroups/Part_Function_Plus/R.var". inline "cic:/CoRN/algebra/CSemiGroups/included_FPlus.con". @@ -183,11 +183,11 @@ predicate on the semi-group which is preserved by [[+]]. Section SubCSemiGroups *) -inline "cic:/CoRN/algebra/CSemiGroups/SubCSemiGroups/csg.var" "SubCSemiGroups__". +alias id "csg" = "cic:/CoRN/algebra/CSemiGroups/SubCSemiGroups/csg.var". -inline "cic:/CoRN/algebra/CSemiGroups/SubCSemiGroups/P.var" "SubCSemiGroups__". +alias id "P" = "cic:/CoRN/algebra/CSemiGroups/SubCSemiGroups/P.var". -inline "cic:/CoRN/algebra/CSemiGroups/SubCSemiGroups/op_pres_P.var" "SubCSemiGroups__". +alias id "op_pres_P" = "cic:/CoRN/algebra/CSemiGroups/SubCSemiGroups/op_pres_P.var". inline "cic:/CoRN/algebra/CSemiGroups/SubCSemiGroups/subcrr.con" "SubCSemiGroups__". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CSetoidFun.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CSetoidFun.ma index c72245537..f025d8a94 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CSetoidFun.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CSetoidFun.ma @@ -32,15 +32,15 @@ Let [S1], [S2] and [S3] be setoids, [f] a setoid function from [S1] to [S2], and [g] from [S2] to [S3] in the following definition of composition. *) -inline "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/S1.var" "unary_function_composition__". +alias id "S1" = "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/S1.var". -inline "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/S2.var" "unary_function_composition__". +alias id "S2" = "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/S2.var". -inline "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/S3.var" "unary_function_composition__". +alias id "S3" = "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/S3.var". -inline "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/f.var" "unary_function_composition__". +alias id "f" = "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/f.var". -inline "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/g.var" "unary_function_composition__". +alias id "g" = "cic:/CoRN/algebra/CSetoidFun/unary_function_composition/g.var". inline "cic:/CoRN/algebra/CSetoidFun/compose_CSetoid_fun.con". @@ -81,7 +81,7 @@ End function_projection Section BinProj *) -inline "cic:/CoRN/algebra/CSetoidFun/BinProj/S.var" "BinProj__". +alias id "S" = "cic:/CoRN/algebra/CSetoidFun/BinProj/S.var". inline "cic:/CoRN/algebra/CSetoidFun/binproj1.con". @@ -102,11 +102,11 @@ End BinProj Section CombiningOperations *) -inline "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/S1.var" "CombiningOperations__". +alias id "S1" = "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/S1.var". -inline "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/S2.var" "CombiningOperations__". +alias id "S2" = "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/S2.var". -inline "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/S3.var" "CombiningOperations__". +alias id "S3" = "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/S3.var". (*#* In the following definition, we assume [f] is a setoid function from @@ -118,9 +118,9 @@ Then [opOnFun] is the composition [op] after [f]. Section CombiningUnaryOperations *) -inline "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/CombiningUnaryOperations/f.var" "CombiningOperations__CombiningUnaryOperations__". +alias id "f" = "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/CombiningUnaryOperations/f.var". -inline "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/CombiningUnaryOperations/op.var" "CombiningOperations__CombiningUnaryOperations__". +alias id "op" = "cic:/CoRN/algebra/CSetoidFun/CombiningOperations/CombiningUnaryOperations/op.var". inline "cic:/CoRN/algebra/CSetoidFun/opOnFun.con". @@ -173,15 +173,15 @@ welldefinedness. %\end{convention}% *) -inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/S.var" "SubSets_of_G__". +alias id "S" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/S.var". (* UNEXPORTED Section Conjunction *) -inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Conjunction/P.var" "SubSets_of_G__Conjunction__". +alias id "P" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Conjunction/P.var". -inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Conjunction/Q.var" "SubSets_of_G__Conjunction__". +alias id "Q" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Conjunction/Q.var". inline "cic:/CoRN/algebra/CSetoidFun/conjP.con". @@ -199,9 +199,9 @@ End Conjunction Section Disjunction *) -inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Disjunction/P.var" "SubSets_of_G__Disjunction__". +alias id "P" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Disjunction/P.var". -inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Disjunction/Q.var" "SubSets_of_G__Disjunction__". +alias id "Q" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Disjunction/Q.var". (*#* Although at this stage we never use it, for completeness's sake we also treat disjunction (corresponding to union of subsets). @@ -227,9 +227,9 @@ Section Extension The next definition is a bit tricky, and is useful for choosing among the elements that satisfy a predicate [P] those that also satisfy [R] in the case where [R] is only defined for elements satisfying [P]---consider [R] to be a condition on the image of an object via a function with domain [P]. We chose to call this operation [extension]. *) -inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Extension/P.var" "SubSets_of_G__Extension__". +alias id "P" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Extension/P.var". -inline "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Extension/R.var" "SubSets_of_G__Extension__". +alias id "R" = "cic:/CoRN/algebra/CSetoidFun/SubSets_of_G/Extension/R.var". inline "cic:/CoRN/algebra/CSetoidFun/extend.con". @@ -368,7 +368,7 @@ Hint Resolve CI: core. Section CSetoid_Ops *) -inline "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/S.var" "CSetoid_Ops__". +alias id "S" = "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/S.var". (*#* To begin with, we want to be able to ``see'' each total function as a partial function. @@ -387,7 +387,7 @@ In any setoid we can also define constant functions (one for each element of the %\end{convention}% *) -inline "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/Part_Function_Const/c.var" "CSetoid_Ops__Part_Function_Const__". +alias id "c" = "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/Part_Function_Const/c.var". inline "cic:/CoRN/algebra/CSetoidFun/Fconst.con". @@ -418,9 +418,9 @@ If we have two setoid functions [F] and [G] we can always compose them. The dom Section Part_Function_Composition *) -inline "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/Part_Function_Composition/G.var" "CSetoid_Ops__Part_Function_Composition__". +alias id "G" = "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/Part_Function_Composition/G.var". -inline "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/Part_Function_Composition/F.var" "CSetoid_Ops__Part_Function_Composition__". +alias id "F" = "cic:/CoRN/algebra/CSetoidFun/CSetoid_Ops/Part_Function_Composition/F.var". (* begin hide *) @@ -455,15 +455,15 @@ End CSetoid_Ops Section BinPart_Function_Composition *) -inline "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/S1.var" "BinPart_Function_Composition__". +alias id "S1" = "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/S1.var". -inline "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/S2.var" "BinPart_Function_Composition__". +alias id "S2" = "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/S2.var". -inline "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/S3.var" "BinPart_Function_Composition__". +alias id "S3" = "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/S3.var". -inline "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/G.var" "BinPart_Function_Composition__". +alias id "G" = "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/G.var". -inline "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/F.var" "BinPart_Function_Composition__". +alias id "F" = "cic:/CoRN/algebra/CSetoidFun/BinPart_Function_Composition/F.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CSetoidInc.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CSetoidInc.ma index 578515108..380219a81 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CSetoidInc.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CSetoidInc.ma @@ -32,7 +32,7 @@ Section inclusion Let [S] be a setoid, and [P], [Q], [R] be predicates on [S]. *) -inline "cic:/CoRN/algebra/CSetoidInc/inclusion/S.var" "inclusion__". +alias id "S" = "cic:/CoRN/algebra/CSetoidInc/inclusion/S.var". inline "cic:/CoRN/algebra/CSetoidInc/included.con". @@ -40,11 +40,11 @@ inline "cic:/CoRN/algebra/CSetoidInc/included.con". Section Basics *) -inline "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/P.var" "inclusion__Basics__". +alias id "P" = "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/P.var". -inline "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/Q.var" "inclusion__Basics__". +alias id "Q" = "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/Q.var". -inline "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/R.var" "inclusion__Basics__". +alias id "R" = "cic:/CoRN/algebra/CSetoidInc/inclusion/Basics/R.var". inline "cic:/CoRN/algebra/CSetoidInc/included_refl.con". @@ -72,9 +72,9 @@ by [P] and [Q], respectively, the domains of [F] and [G]. %\end{convention}% *) -inline "cic:/CoRN/algebra/CSetoidInc/inclusion/F.var" "inclusion__". +alias id "F" = "cic:/CoRN/algebra/CSetoidInc/inclusion/F.var". -inline "cic:/CoRN/algebra/CSetoidInc/inclusion/G.var" "inclusion__". +alias id "G" = "cic:/CoRN/algebra/CSetoidInc/inclusion/G.var". (* begin hide *) @@ -84,7 +84,7 @@ inline "cic:/CoRN/algebra/CSetoidInc/inclusion/Q.con" "inclusion__". (* end hide *) -inline "cic:/CoRN/algebra/CSetoidInc/inclusion/R.var" "inclusion__". +alias id "R" = "cic:/CoRN/algebra/CSetoidInc/inclusion/R.var". inline "cic:/CoRN/algebra/CSetoidInc/included_FComp.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CSetoids.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CSetoids.ma index 0538d085b..a11ee1229 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CSetoids.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CSetoids.ma @@ -96,7 +96,7 @@ Notice that their type depends on the main logical connective. Section Properties_of_relations *) -inline "cic:/CoRN/algebra/CSetoids/Properties_of_relations/A.var" "Properties_of_relations__". +alias id "A" = "cic:/CoRN/algebra/CSetoids/Properties_of_relations/A.var". inline "cic:/CoRN/algebra/CSetoids/irreflexive.con". @@ -180,7 +180,7 @@ Let [S] be a setoid. Section CSetoid_axioms *) -inline "cic:/CoRN/algebra/CSetoids/CSetoid_axioms/S.var" "CSetoid_axioms__". +alias id "S" = "cic:/CoRN/algebra/CSetoids/CSetoid_axioms/S.var". inline "cic:/CoRN/algebra/CSetoids/CSetoid_is_CSetoid.con". @@ -209,7 +209,7 @@ End CSetoid_axioms Section CSetoid_basics *) -inline "cic:/CoRN/algebra/CSetoids/CSetoid_basics/S.var" "CSetoid_basics__". +alias id "S" = "cic:/CoRN/algebra/CSetoids/CSetoid_basics/S.var". (* End_SpecReals *) @@ -348,7 +348,7 @@ on predicates and relations. Section CSetoid_relations_and_predicates *) -inline "cic:/CoRN/algebra/CSetoids/CSetoid_relations_and_predicates/S.var" "CSetoid_relations_and_predicates__". +alias id "S" = "cic:/CoRN/algebra/CSetoids/CSetoid_relations_and_predicates/S.var". (* End_SpecReals *) @@ -364,7 +364,7 @@ At this stage, we consider [CProp]- and [Prop]-valued predicates on setoids. Section CSetoidPredicates *) -inline "cic:/CoRN/algebra/CSetoids/CSetoid_relations_and_predicates/CSetoidPredicates/P.var" "CSetoid_relations_and_predicates__CSetoidPredicates__". +alias id "P" = "cic:/CoRN/algebra/CSetoids/CSetoid_relations_and_predicates/CSetoidPredicates/P.var". inline "cic:/CoRN/algebra/CSetoids/pred_strong_ext.con". @@ -386,7 +386,7 @@ inline "cic:/CoRN/algebra/CSetoids/csp_wd.con". Section CSetoidPPredicates *) -inline "cic:/CoRN/algebra/CSetoids/CSetoid_relations_and_predicates/CSetoidPPredicates/P.var" "CSetoid_relations_and_predicates__CSetoidPPredicates__". +alias id "P" = "cic:/CoRN/algebra/CSetoids/CSetoid_relations_and_predicates/CSetoidPPredicates/P.var". inline "cic:/CoRN/algebra/CSetoids/pred_strong_ext'.con". @@ -415,7 +415,7 @@ Let [R] be a relation on (the carrier of) [S]. Section CsetoidRelations *) -inline "cic:/CoRN/algebra/CSetoids/CSetoid_relations_and_predicates/CsetoidRelations/R.var" "CSetoid_relations_and_predicates__CsetoidRelations__". +alias id "R" = "cic:/CoRN/algebra/CSetoids/CSetoid_relations_and_predicates/CsetoidRelations/R.var". inline "cic:/CoRN/algebra/CSetoids/rel_wdr.con". @@ -458,7 +458,7 @@ Let [R] be a relation on (the carrier of) [S]. Section CCsetoidRelations *) -inline "cic:/CoRN/algebra/CSetoids/CSetoid_relations_and_predicates/CCsetoidRelations/R.var" "CSetoid_relations_and_predicates__CCsetoidRelations__". +alias id "R" = "cic:/CoRN/algebra/CSetoids/CSetoid_relations_and_predicates/CCsetoidRelations/R.var". inline "cic:/CoRN/algebra/CSetoids/Crel_wdr.con". @@ -543,11 +543,11 @@ First we consider unary functions. *) Section CSetoid_functions *) -inline "cic:/CoRN/algebra/CSetoids/CSetoid_functions/S1.var" "CSetoid_functions__". +alias id "S1" = "cic:/CoRN/algebra/CSetoids/CSetoid_functions/S1.var". -inline "cic:/CoRN/algebra/CSetoids/CSetoid_functions/S2.var" "CSetoid_functions__". +alias id "S2" = "cic:/CoRN/algebra/CSetoids/CSetoid_functions/S2.var". -inline "cic:/CoRN/algebra/CSetoids/CSetoid_functions/S3.var" "CSetoid_functions__". +alias id "S3" = "cic:/CoRN/algebra/CSetoids/CSetoid_functions/S3.var". (* UNEXPORTED Section unary_functions @@ -558,7 +558,7 @@ In the following two definitions, [f] is a function from (the carrier of) [S1] to (the carrier of) [S2]. *) -inline "cic:/CoRN/algebra/CSetoids/CSetoid_functions/unary_functions/f.var" "CSetoid_functions__unary_functions__". +alias id "f" = "cic:/CoRN/algebra/CSetoids/CSetoid_functions/unary_functions/f.var". inline "cic:/CoRN/algebra/CSetoids/fun_wd.con". @@ -596,7 +596,7 @@ In the following two definitions, [f] is a function from [S1] and [S2] to [S3]. *) -inline "cic:/CoRN/algebra/CSetoids/CSetoid_functions/binary_functions/f.var" "CSetoid_functions__binary_functions__". +alias id "f" = "cic:/CoRN/algebra/CSetoids/CSetoid_functions/binary_functions/f.var". inline "cic:/CoRN/algebra/CSetoids/bin_fun_wd.con". @@ -661,7 +661,7 @@ Let [S] be a setoid. Section csetoid_inner_ops *) -inline "cic:/CoRN/algebra/CSetoids/csetoid_inner_ops/S.var" "csetoid_inner_ops__". +alias id "S" = "cic:/CoRN/algebra/CSetoids/csetoid_inner_ops/S.var". (*#* Properties of binary operations *) @@ -781,9 +781,9 @@ Let [S1] and [S2] be setoids. Section csetoid_outer_ops *) -inline "cic:/CoRN/algebra/CSetoids/csetoid_outer_ops/S1.var" "csetoid_outer_ops__". +alias id "S1" = "cic:/CoRN/algebra/CSetoids/csetoid_outer_ops/S1.var". -inline "cic:/CoRN/algebra/CSetoids/csetoid_outer_ops/S2.var" "csetoid_outer_ops__". +alias id "S2" = "cic:/CoRN/algebra/CSetoids/csetoid_outer_ops/S2.var". (*#* Well-defined outer operations on a setoid. @@ -829,9 +829,9 @@ Let [S] be a setoid, and [P] a predicate on the carrier of [S]. Section SubCSetoids *) -inline "cic:/CoRN/algebra/CSetoids/SubCSetoids/S.var" "SubCSetoids__". +alias id "S" = "cic:/CoRN/algebra/CSetoids/SubCSetoids/S.var". -inline "cic:/CoRN/algebra/CSetoids/SubCSetoids/P.var" "SubCSetoids__". +alias id "P" = "cic:/CoRN/algebra/CSetoids/SubCSetoids/P.var". inline "cic:/CoRN/algebra/CSetoids/subcsetoid_crr.ind". @@ -872,7 +872,7 @@ Let [f] be a unary setoid operation on [S]. Section SubCSetoid_unary_operations *) -inline "cic:/CoRN/algebra/CSetoids/SubCSetoids/SubCSetoid_unary_operations/f.var" "SubCSetoids__SubCSetoid_unary_operations__". +alias id "f" = "cic:/CoRN/algebra/CSetoids/SubCSetoids/SubCSetoid_unary_operations/f.var". inline "cic:/CoRN/algebra/CSetoids/un_op_pres_pred.con". @@ -881,7 +881,7 @@ inline "cic:/CoRN/algebra/CSetoids/un_op_pres_pred.con". Assume [pr:un_op_pres_pred]. %\end{convention}% *) -inline "cic:/CoRN/algebra/CSetoids/SubCSetoids/SubCSetoid_unary_operations/pr.var" "SubCSetoids__SubCSetoid_unary_operations__". +alias id "pr" = "cic:/CoRN/algebra/CSetoids/SubCSetoids/SubCSetoid_unary_operations/pr.var". inline "cic:/CoRN/algebra/CSetoids/restr_un_op.con". @@ -905,7 +905,7 @@ Let [f] be a binary setoid operation on [S]. Section SubCSetoid_binary_operations *) -inline "cic:/CoRN/algebra/CSetoids/SubCSetoids/SubCSetoid_binary_operations/f.var" "SubCSetoids__SubCSetoid_binary_operations__". +alias id "f" = "cic:/CoRN/algebra/CSetoids/SubCSetoids/SubCSetoid_binary_operations/f.var". inline "cic:/CoRN/algebra/CSetoids/bin_op_pres_pred.con". @@ -915,7 +915,7 @@ Assume [bin_op_pres_pred]. %\end{convention}% *) -inline "cic:/CoRN/algebra/CSetoids/SubCSetoids/SubCSetoid_binary_operations/pr.var" "SubCSetoids__SubCSetoid_binary_operations__". +alias id "pr" = "cic:/CoRN/algebra/CSetoids/SubCSetoids/SubCSetoid_binary_operations/pr.var". inline "cic:/CoRN/algebra/CSetoids/restr_bin_op.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CSums.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CSums.ma index c90312746..3930cbf9f 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CSums.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CSums.ma @@ -42,7 +42,7 @@ include "algebra/CAbGroups.ma". Section Sums *) -inline "cic:/CoRN/algebra/CSums/Sums/G.var" "Sums__". +alias id "G" = "cic:/CoRN/algebra/CSums/Sums/G.var". (* Sum1 and Sum use subtraction *) @@ -219,7 +219,7 @@ often referred to as ``Mengolli Sums''. Section More_Sums *) -inline "cic:/CoRN/algebra/CSums/More_Sums/G.var" "More_Sums__". +alias id "G" = "cic:/CoRN/algebra/CSums/More_Sums/G.var". inline "cic:/CoRN/algebra/CSums/Mengolli_Sum.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CVectorSpace.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CVectorSpace.ma index 85d902536..7c3b81250 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CVectorSpace.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CVectorSpace.ma @@ -80,9 +80,9 @@ Let [F] be a fiels and let [V] be a vector space over [F] Section VS_basics *) -inline "cic:/CoRN/algebra/CVectorSpace/VS_basics/F.var" "VS_basics__". +alias id "F" = "cic:/CoRN/algebra/CVectorSpace/VS_basics/F.var". -inline "cic:/CoRN/algebra/CVectorSpace/VS_basics/V.var" "VS_basics__". +alias id "V" = "cic:/CoRN/algebra/CVectorSpace/VS_basics/V.var". inline "cic:/CoRN/algebra/CVectorSpace/vs_op_zero.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/Cauchy_COF.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/Cauchy_COF.ma index 46cfc7647..bbf6cda59 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/Cauchy_COF.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/Cauchy_COF.ma @@ -38,7 +38,7 @@ field [F], we can define a new ordered field of Cauchy sequences over [F]. Section Structure *) -inline "cic:/CoRN/algebra/Cauchy_COF/Structure/F.var" "Structure__". +alias id "F" = "cic:/CoRN/algebra/Cauchy_COF/Structure/F.var". (*#* ** Setoid Structure diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/Expon.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/Expon.ma index e8a28b301..29bc341c7 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/Expon.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/Expon.ma @@ -36,7 +36,7 @@ include "tactics/Transparent_algebra.ma". Section More_Nexp *) -inline "cic:/CoRN/algebra/Expon/More_Nexp/R.var" "More_Nexp__". +alias id "R" = "cic:/CoRN/algebra/Expon/More_Nexp/R.var". inline "cic:/CoRN/algebra/Expon/nexp_resp_ap_zero.con". @@ -99,7 +99,7 @@ Implicit Arguments nexp_resp_ap_zero [R x]. Section Zexp_def *) -inline "cic:/CoRN/algebra/Expon/Zexp_def/R.var" "Zexp_def__". +alias id "R" = "cic:/CoRN/algebra/Expon/Zexp_def/R.var". (*#* It would be nicer to define [zexp] using [caseZdiff], but we already @@ -129,7 +129,7 @@ Notation "( x [//] Hx ) [^^] n" := (zexp x Hx n) (at level 0). Section Zexp_properties *) -inline "cic:/CoRN/algebra/Expon/Zexp_properties/R.var" "Zexp_properties__". +alias id "R" = "cic:/CoRN/algebra/Expon/Zexp_properties/R.var". inline "cic:/CoRN/algebra/Expon/zexp_zero.con". @@ -276,7 +276,7 @@ Hint Resolve zexp_wd: algebra_c. Section Root_Unique *) -inline "cic:/CoRN/algebra/Expon/Root_Unique/R.var" "Root_Unique__". +alias id "R" = "cic:/CoRN/algebra/Expon/Root_Unique/R.var". inline "cic:/CoRN/algebra/Expon/root_unique.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/ListType.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/ListType.ma index 45742b7c2..f97dfd9d0 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/ListType.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/ListType.ma @@ -54,7 +54,7 @@ library of Coq but moved to the Type level. Section List *) -inline "cic:/CoRN/algebra/ListType/List/A.var" "List__". +alias id "A" = "cic:/CoRN/algebra/ListType/List/A.var". inline "cic:/CoRN/algebra/ListType/list.ind". @@ -106,15 +106,15 @@ inline "cic:/CoRN/algebra/ListType/lel.con". Hint Unfold lel: list. *) -inline "cic:/CoRN/algebra/ListType/List/length_order/a.var" "List__length_order__". +alias id "a" = "cic:/CoRN/algebra/ListType/List/length_order/a.var". -inline "cic:/CoRN/algebra/ListType/List/length_order/b.var" "List__length_order__". +alias id "b" = "cic:/CoRN/algebra/ListType/List/length_order/b.var". -inline "cic:/CoRN/algebra/ListType/List/length_order/l.var" "List__length_order__". +alias id "l" = "cic:/CoRN/algebra/ListType/List/length_order/l.var". -inline "cic:/CoRN/algebra/ListType/List/length_order/m.var" "List__length_order__". +alias id "m" = "cic:/CoRN/algebra/ListType/List/length_order/m.var". -inline "cic:/CoRN/algebra/ListType/List/length_order/n.var" "List__length_order__". +alias id "n" = "cic:/CoRN/algebra/ListType/List/length_order/n.var". inline "cic:/CoRN/algebra/ListType/lel_refl.con". @@ -223,11 +223,11 @@ Implicit Arguments cons [A]. Section Map *) -inline "cic:/CoRN/algebra/ListType/Map/A.var" "Map__". +alias id "A" = "cic:/CoRN/algebra/ListType/Map/A.var". -inline "cic:/CoRN/algebra/ListType/Map/B.var" "Map__". +alias id "B" = "cic:/CoRN/algebra/ListType/Map/B.var". -inline "cic:/CoRN/algebra/ListType/Map/f.var" "Map__". +alias id "f" = "cic:/CoRN/algebra/ListType/Map/f.var". inline "cic:/CoRN/algebra/ListType/map.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/complex/NRootCC.ma b/helm/software/matita/contribs/CoRN-Decl/complex/NRootCC.ma index 26a51df83..988c7f763 100644 --- a/helm/software/matita/contribs/CoRN-Decl/complex/NRootCC.ma +++ b/helm/software/matita/contribs/CoRN-Decl/complex/NRootCC.ma @@ -109,11 +109,11 @@ Define [c2 := a[^]2[+]b[^]2], [c := sqrt c2], [a'2 := (c[+]a) [*]Half], %\end{convention}% *) -inline "cic:/CoRN/complex/NRootCC/NRootCC_1/NRootCC_1_ap_real/a.var" "NRootCC_1__NRootCC_1_ap_real__". +alias id "a" = "cic:/CoRN/complex/NRootCC/NRootCC_1/NRootCC_1_ap_real/a.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_1/NRootCC_1_ap_real/b.var" "NRootCC_1__NRootCC_1_ap_real__". +alias id "b" = "cic:/CoRN/complex/NRootCC/NRootCC_1/NRootCC_1_ap_real/b.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_1/NRootCC_1_ap_real/b_.var" "NRootCC_1__NRootCC_1_ap_real__". +alias id "b_" = "cic:/CoRN/complex/NRootCC/NRootCC_1/NRootCC_1_ap_real/b_.var". (* begin hide *) @@ -198,11 +198,11 @@ Section NRootCC_1_ap_imag %\end{convention}% *) -inline "cic:/CoRN/complex/NRootCC/NRootCC_1/NRootCC_1_ap_imag/a.var" "NRootCC_1__NRootCC_1_ap_imag__". +alias id "a" = "cic:/CoRN/complex/NRootCC/NRootCC_1/NRootCC_1_ap_imag/a.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_1/NRootCC_1_ap_imag/b.var" "NRootCC_1__NRootCC_1_ap_imag__". +alias id "b" = "cic:/CoRN/complex/NRootCC/NRootCC_1/NRootCC_1_ap_imag/b.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_1/NRootCC_1_ap_imag/a_.var" "NRootCC_1__NRootCC_1_ap_imag__". +alias id "a_" = "cic:/CoRN/complex/NRootCC/NRootCC_1/NRootCC_1_ap_imag/a_.var". (* begin hide *) @@ -241,13 +241,13 @@ Section NRootCC_2 %\end{convention}% *) -inline "cic:/CoRN/complex/NRootCC/NRootCC_2/n.var" "NRootCC_2__". +alias id "n" = "cic:/CoRN/complex/NRootCC/NRootCC_2/n.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_2/c.var" "NRootCC_2__". +alias id "c" = "cic:/CoRN/complex/NRootCC/NRootCC_2/c.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_2/z.var" "NRootCC_2__". +alias id "z" = "cic:/CoRN/complex/NRootCC/NRootCC_2/z.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_2/c_.var" "NRootCC_2__". +alias id "c_" = "cic:/CoRN/complex/NRootCC/NRootCC_2/c_.var". inline "cic:/CoRN/complex/NRootCC/nrootCC_2'.con". @@ -272,13 +272,13 @@ inline "cic:/CoRN/complex/NRootCC/nrCC3_a2.con". %\end{convention}% *) -inline "cic:/CoRN/complex/NRootCC/NRootCC_3/a.var" "NRootCC_3__". +alias id "a" = "cic:/CoRN/complex/NRootCC/NRootCC_3/a.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_3/b.var" "NRootCC_3__". +alias id "b" = "cic:/CoRN/complex/NRootCC/NRootCC_3/b.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_3/b_.var" "NRootCC_3__". +alias id "b_" = "cic:/CoRN/complex/NRootCC/NRootCC_3/b_.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_3/n.var" "NRootCC_3__". +alias id "n" = "cic:/CoRN/complex/NRootCC/NRootCC_3/n.var". inline "cic:/CoRN/complex/NRootCC/nrCC3_poly''.con". @@ -351,11 +351,11 @@ Section NRootCC_3' %\end{convention}% *) -inline "cic:/CoRN/complex/NRootCC/NRootCC_3'/c.var" "NRootCC_3'__". +alias id "c" = "cic:/CoRN/complex/NRootCC/NRootCC_3'/c.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_3'/n.var" "NRootCC_3'__". +alias id "n" = "cic:/CoRN/complex/NRootCC/NRootCC_3'/n.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_3'/n_.var" "NRootCC_3'__". +alias id "n_" = "cic:/CoRN/complex/NRootCC/NRootCC_3'/n_.var". inline "cic:/CoRN/complex/NRootCC/nrootCC_3'_poly.con". @@ -381,15 +381,15 @@ Section NRootCC_4_ap_real %\end{convention}% *) -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/a.var" "NRootCC_4__NRootCC_4_ap_real__". +alias id "a" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/a.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/b.var" "NRootCC_4__NRootCC_4_ap_real__". +alias id "b" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/b.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/b_.var" "NRootCC_4__NRootCC_4_ap_real__". +alias id "b_" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/b_.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/n.var" "NRootCC_4__NRootCC_4_ap_real__". +alias id "n" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/n.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/n_.var" "NRootCC_4__NRootCC_4_ap_real__". +alias id "n_" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/n_.var". (* begin hide *) @@ -412,11 +412,11 @@ inline "cic:/CoRN/complex/NRootCC/nrCC4_a1.con". %\end{convention}% *) -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_solutions/r2'.var" "NRootCC_4__NRootCC_4_ap_real__NRootCC_4_solutions__". +alias id "r2'" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_solutions/r2'.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_solutions/c2.var" "NRootCC_4__NRootCC_4_ap_real__NRootCC_4_solutions__". +alias id "c2" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_solutions/c2.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_solutions/r2'_.var" "NRootCC_4__NRootCC_4_ap_real__NRootCC_4_solutions__". +alias id "r2'_" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_solutions/r2'_.var". (* UNEXPORTED Hint Resolve nrootCC_3': algebra. @@ -439,13 +439,13 @@ and [(y2[*] (r[^] (2) [+]One)) [^]n [=] a[^] (2) [+]b[^] (2)]. %\end{convention}% *) -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_equations/r.var" "NRootCC_4__NRootCC_4_ap_real__NRootCC_4_equations__". +alias id "r" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_equations/r.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_equations/r_property.var" "NRootCC_4__NRootCC_4_ap_real__NRootCC_4_equations__". +alias id "r_property" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_equations/r_property.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_equations/y2.var" "NRootCC_4__NRootCC_4_ap_real__NRootCC_4_equations__". +alias id "y2" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_equations/y2.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_equations/y2_property.var" "NRootCC_4__NRootCC_4_ap_real__NRootCC_4_equations__". +alias id "y2_property" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_real/NRootCC_4_equations/y2_property.var". inline "cic:/CoRN/complex/NRootCC/nrCC4_a2.con". @@ -501,15 +501,15 @@ and [(odd n)]; define [c' := (a[+I*]b) [*]II := a'[+I*]b']. %\end{convention}% *) -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_imag/a.var" "NRootCC_4__NRootCC_4_ap_imag__". +alias id "a" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_imag/a.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_imag/b.var" "NRootCC_4__NRootCC_4_ap_imag__". +alias id "b" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_imag/b.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_imag/a_.var" "NRootCC_4__NRootCC_4_ap_imag__". +alias id "a_" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_imag/a_.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_imag/n.var" "NRootCC_4__NRootCC_4_ap_imag__". +alias id "n" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_imag/n.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_imag/n_.var" "NRootCC_4__NRootCC_4_ap_imag__". +alias id "n_" = "cic:/CoRN/complex/NRootCC/NRootCC_4/NRootCC_4_ap_imag/n_.var". (* begin hide *) @@ -558,9 +558,9 @@ Hint Resolve nrCC_5a3: algebra. %\end{convention}% *) -inline "cic:/CoRN/complex/NRootCC/NRootCC_5/c.var" "NRootCC_5__". +alias id "c" = "cic:/CoRN/complex/NRootCC/NRootCC_5/c.var". -inline "cic:/CoRN/complex/NRootCC/NRootCC_5/c_.var" "NRootCC_5__". +alias id "c_" = "cic:/CoRN/complex/NRootCC/NRootCC_5/c_.var". inline "cic:/CoRN/complex/NRootCC/nrCC_5a4.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/devel/loeb/IDA/Ch6.ma b/helm/software/matita/contribs/CoRN-Decl/devel/loeb/IDA/Ch6.ma index 1b51522ab..fe7031a98 100644 --- a/helm/software/matita/contribs/CoRN-Decl/devel/loeb/IDA/Ch6.ma +++ b/helm/software/matita/contribs/CoRN-Decl/devel/loeb/IDA/Ch6.ma @@ -83,13 +83,13 @@ include "model/setoids/Qsetoid.ma". Section p66E2 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2/X.var" "p66E2__". +alias id "X" = "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2/X.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2/f.var" "p66E2__". +alias id "f" = "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2/f.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2/g.var" "p66E2__". +alias id "g" = "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2/g.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2/h.var" "p66E2__". +alias id "h" = "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2/h.var". (* Check comp_as_bin_op.*) @@ -117,7 +117,7 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/FS_is_CSemiGroup.con". Section p66E2b4 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2b4/A.var" "p66E2b4__". +alias id "A" = "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2b4/A.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/Astar.con". @@ -173,7 +173,7 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/is_unit_Z_0.con". Section p67R2 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p67R2/X.var" "p67R2__". +alias id "X" = "cic:/CoRN/devel/loeb/IDA/Ch6/p67R2/X.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/is_unit_FS_id.con". @@ -301,9 +301,9 @@ include "algebra/CMonoids.ma". Section D9S *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/D9S/M1.var" "D9S__". +alias id "M1" = "cic:/CoRN/devel/loeb/IDA/Ch6/D9S/M1.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/D9S/M2.var" "D9S__". +alias id "M2" = "cic:/CoRN/devel/loeb/IDA/Ch6/D9S/M2.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/dprod.con". @@ -323,9 +323,9 @@ End D9S Section D9M *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/D9M/M1.var" "D9M__". +alias id "M1" = "cic:/CoRN/devel/loeb/IDA/Ch6/D9M/M1.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/D9M/M2.var" "D9M__". +alias id "M2" = "cic:/CoRN/devel/loeb/IDA/Ch6/D9M/M2.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/e1e2_is_rht_unit.con". @@ -363,15 +363,15 @@ End p69E1 Section Th11 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/M.var" "Th11__". +alias id "M" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/M.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/I.var" "Th11__". +alias id "I" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/I.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/C.var" "Th11__". +alias id "C" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/C.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/Cunit.var" "Th11__". +alias id "Cunit" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/Cunit.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/op_pres_C.var" "Th11__". +alias id "op_pres_C" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/op_pres_C.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/K.con". @@ -389,7 +389,7 @@ End Th11 Section Th12 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th12/A.var" "Th12__". +alias id "A" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th12/A.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/nil_is_rht_unit.con". @@ -437,9 +437,9 @@ End p70text Section Th13 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th13/M1.var" "Th13__". +alias id "M1" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th13/M1.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th13/M2.var" "Th13__". +alias id "M2" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th13/M2.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/morphism.con". @@ -455,15 +455,15 @@ End Th13 Section p71E1 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71E1/M.var" "p71E1__". +alias id "M" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71E1/M.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71E1/c.var" "p71E1__". +alias id "c" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71E1/c.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/power_CMonoid.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/power_CMonoid_CSetoid.con". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71E1/is_generated_by.var" "p71E1__". +alias id "is_generated_by" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71E1/is_generated_by.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71E1/f.con" "p71E1__". @@ -495,7 +495,7 @@ End p71E1' Section p71E2 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2/A.var" "p71E2__". +alias id "A" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2/A.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2/L.con" "p71E2__". @@ -515,9 +515,9 @@ End p71E2 Section p71R1 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71R1/S1.var" "p71R1__". +alias id "S1" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71R1/S1.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71R1/S2.var" "p71R1__". +alias id "S2" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71R1/S2.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/morphism_of_CSemiGroups.con". @@ -529,7 +529,7 @@ End p71R1 Section p71R2 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71R2/M.var" "p71R2__". +alias id "M" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71R2/M.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/automorphism.con". @@ -543,13 +543,13 @@ End p71R2 Section Th14 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th14/M1.var" "Th14__". +alias id "M1" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th14/M1.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th14/M2.var" "Th14__". +alias id "M2" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th14/M2.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th14/f.var" "Th14__". +alias id "f" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th14/f.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th14/isof.var" "Th14__". +alias id "isof" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th14/isof.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/iso_imp_bij.con". @@ -577,9 +577,9 @@ End p71E2b1 Section p71E2b2 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2b2/M1.var" "p71E2b2__". +alias id "M1" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2b2/M1.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2b2/M2.var" "p71E2b2__". +alias id "M2" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2b2/M2.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2b2/f.con" "p71E2b2__". @@ -597,11 +597,11 @@ End p71E2b2 Section Th15 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th15/M.var" "Th15__". +alias id "M" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th15/M.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/cm_Sum.con". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Th15/D.var" "Th15__". +alias id "D" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th15/D.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/member.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/fta/CC_Props.ma b/helm/software/matita/contribs/CoRN-Decl/fta/CC_Props.ma index ff688c492..3dad80b8e 100644 --- a/helm/software/matita/contribs/CoRN-Decl/fta/CC_Props.ma +++ b/helm/software/matita/contribs/CoRN-Decl/fta/CC_Props.ma @@ -77,7 +77,7 @@ Section Continuity_for_CC %\end{convention}% *) -inline "cic:/CoRN/fta/CC_Props/Continuity_for_CC/f.var" "Continuity_for_CC__". +alias id "f" = "cic:/CoRN/fta/CC_Props/Continuity_for_CC/f.var". (* (CSetoid_un_op CC). *) diff --git a/helm/software/matita/contribs/CoRN-Decl/fta/CPoly_Contin1.ma b/helm/software/matita/contribs/CoRN-Decl/fta/CPoly_Contin1.ma index 38f8a6976..d4110c62e 100644 --- a/helm/software/matita/contribs/CoRN-Decl/fta/CPoly_Contin1.ma +++ b/helm/software/matita/contribs/CoRN-Decl/fta/CPoly_Contin1.ma @@ -48,7 +48,7 @@ Section CPoly_CC_Continuous %\end{convention}% *) -inline "cic:/CoRN/fta/CPoly_Contin1/CPoly_CC_Continuous/g.var" "CPoly_CC_Continuous__". +alias id "g" = "cic:/CoRN/fta/CPoly_Contin1/CPoly_CC_Continuous/g.var". inline "cic:/CoRN/fta/CPoly_Contin1/cpoly_CC_contin.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/fta/CPoly_Rev.ma b/helm/software/matita/contribs/CoRN-Decl/fta/CPoly_Rev.ma index 1f9ab8902..1cf9ca622 100644 --- a/helm/software/matita/contribs/CoRN-Decl/fta/CPoly_Rev.ma +++ b/helm/software/matita/contribs/CoRN-Decl/fta/CPoly_Rev.ma @@ -35,7 +35,7 @@ polynomials over this ring. %\end{convention}% *) -inline "cic:/CoRN/fta/CPoly_Rev/Monomials/R.var" "Monomials__". +alias id "R" = "cic:/CoRN/fta/CPoly_Rev/Monomials/R.var". (* begin hide *) @@ -93,7 +93,7 @@ Implicit Arguments monom [R]. Section Poly_Reverse *) -inline "cic:/CoRN/fta/CPoly_Rev/Poly_Reverse/R.var" "Poly_Reverse__". +alias id "R" = "cic:/CoRN/fta/CPoly_Rev/Poly_Reverse/R.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/fta/FTA.ma b/helm/software/matita/contribs/CoRN-Decl/fta/FTA.ma index b0da6ed44..5b97159c0 100644 --- a/helm/software/matita/contribs/CoRN-Decl/fta/FTA.ma +++ b/helm/software/matita/contribs/CoRN-Decl/fta/FTA.ma @@ -34,11 +34,11 @@ degree [(S n)]. Section FTA_reg' *) -inline "cic:/CoRN/fta/FTA/FTA_reg'/f.var" "FTA_reg'__". +alias id "f" = "cic:/CoRN/fta/FTA/FTA_reg'/f.var". -inline "cic:/CoRN/fta/FTA/FTA_reg'/n.var" "FTA_reg'__". +alias id "n" = "cic:/CoRN/fta/FTA/FTA_reg'/n.var". -inline "cic:/CoRN/fta/FTA/FTA_reg'/f_degree.var" "FTA_reg'__". +alias id "f_degree" = "cic:/CoRN/fta/FTA/FTA_reg'/f_degree.var". inline "cic:/CoRN/fta/FTA/FTA_reg'.con". @@ -57,15 +57,15 @@ less than or equal to [(S n)] and [c] be a complex number such that Section FTA_1 *) -inline "cic:/CoRN/fta/FTA/FTA_1/f.var" "FTA_1__". +alias id "f" = "cic:/CoRN/fta/FTA/FTA_1/f.var". -inline "cic:/CoRN/fta/FTA/FTA_1/n.var" "FTA_1__". +alias id "n" = "cic:/CoRN/fta/FTA/FTA_1/n.var". -inline "cic:/CoRN/fta/FTA/FTA_1/f_degree.var" "FTA_1__". +alias id "f_degree" = "cic:/CoRN/fta/FTA/FTA_1/f_degree.var". -inline "cic:/CoRN/fta/FTA/FTA_1/c.var" "FTA_1__". +alias id "c" = "cic:/CoRN/fta/FTA/FTA_1/c.var". -inline "cic:/CoRN/fta/FTA/FTA_1/f_c.var" "FTA_1__". +alias id "f_c" = "cic:/CoRN/fta/FTA/FTA_1/f_c.var". inline "cic:/CoRN/fta/FTA/FTA_1a.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/fta/FTAreg.ma b/helm/software/matita/contribs/CoRN-Decl/fta/FTAreg.ma index 7187757ad..c4522f456 100644 --- a/helm/software/matita/contribs/CoRN-Decl/fta/FTAreg.ma +++ b/helm/software/matita/contribs/CoRN-Decl/fta/FTAreg.ma @@ -36,9 +36,9 @@ include "fta/CPoly_Contin1.ma". Section Seq_Exists *) -inline "cic:/CoRN/fta/FTAreg/Seq_Exists/n.var" "Seq_Exists__". +alias id "n" = "cic:/CoRN/fta/FTAreg/Seq_Exists/n.var". -inline "cic:/CoRN/fta/FTAreg/Seq_Exists/lt0n.var" "Seq_Exists__". +alias id "lt0n" = "cic:/CoRN/fta/FTAreg/Seq_Exists/lt0n.var". (*#* %\begin{convention}% Let [qK] be a real between 0 and 1, with @@ -55,21 +55,21 @@ Let [p] be a monic polynomial over the complex numbers with degree Section Kneser_Sequence *) -inline "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/qK.var" "Seq_Exists__Kneser_Sequence__". +alias id "qK" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/qK.var". -inline "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/zltq.var" "Seq_Exists__Kneser_Sequence__". +alias id "zltq" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/zltq.var". -inline "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/qlt1.var" "Seq_Exists__Kneser_Sequence__". +alias id "qlt1" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/qlt1.var". -inline "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/q_prop.var" "Seq_Exists__Kneser_Sequence__". +alias id "q_prop" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/q_prop.var". -inline "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/p.var" "Seq_Exists__Kneser_Sequence__". +alias id "p" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/p.var". -inline "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/mp.var" "Seq_Exists__Kneser_Sequence__". +alias id "mp" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/mp.var". -inline "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/c0.var" "Seq_Exists__Kneser_Sequence__". +alias id "c0" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/c0.var". -inline "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/p0ltc0.var" "Seq_Exists__Kneser_Sequence__". +alias id "p0ltc0" = "cic:/CoRN/fta/FTAreg/Seq_Exists/Kneser_Sequence/p0ltc0.var". inline "cic:/CoRN/fta/FTAreg/Knes_tup.ind". @@ -120,19 +120,19 @@ End Seq_Exists Section N_Exists *) -inline "cic:/CoRN/fta/FTAreg/N_Exists/n.var" "N_Exists__". +alias id "n" = "cic:/CoRN/fta/FTAreg/N_Exists/n.var". -inline "cic:/CoRN/fta/FTAreg/N_Exists/lt0n.var" "N_Exists__". +alias id "lt0n" = "cic:/CoRN/fta/FTAreg/N_Exists/lt0n.var". -inline "cic:/CoRN/fta/FTAreg/N_Exists/q.var" "N_Exists__". +alias id "q" = "cic:/CoRN/fta/FTAreg/N_Exists/q.var". -inline "cic:/CoRN/fta/FTAreg/N_Exists/zleq.var" "N_Exists__". +alias id "zleq" = "cic:/CoRN/fta/FTAreg/N_Exists/zleq.var". -inline "cic:/CoRN/fta/FTAreg/N_Exists/qlt1.var" "N_Exists__". +alias id "qlt1" = "cic:/CoRN/fta/FTAreg/N_Exists/qlt1.var". -inline "cic:/CoRN/fta/FTAreg/N_Exists/c.var" "N_Exists__". +alias id "c" = "cic:/CoRN/fta/FTAreg/N_Exists/c.var". -inline "cic:/CoRN/fta/FTAreg/N_Exists/zltc.var" "N_Exists__". +alias id "zltc" = "cic:/CoRN/fta/FTAreg/N_Exists/zltc.var". (* begin hide *) @@ -140,9 +140,9 @@ inline "cic:/CoRN/fta/FTAreg/N_Exists/q_.con" "N_Exists__". (* end hide *) -inline "cic:/CoRN/fta/FTAreg/N_Exists/e.var" "N_Exists__". +alias id "e" = "cic:/CoRN/fta/FTAreg/N_Exists/e.var". -inline "cic:/CoRN/fta/FTAreg/N_Exists/zlte.var" "N_Exists__". +alias id "zlte" = "cic:/CoRN/fta/FTAreg/N_Exists/zlte.var". inline "cic:/CoRN/fta/FTAreg/N_exists.con". @@ -156,19 +156,19 @@ Section Seq_is_CC_CAuchy (*#* ** The Kneser sequence is Cauchy in [CC] *) -inline "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/n.var" "Seq_is_CC_CAuchy__". +alias id "n" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/n.var". -inline "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/lt0n.var" "Seq_is_CC_CAuchy__". +alias id "lt0n" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/lt0n.var". -inline "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/q.var" "Seq_is_CC_CAuchy__". +alias id "q" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/q.var". -inline "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/zleq.var" "Seq_is_CC_CAuchy__". +alias id "zleq" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/zleq.var". -inline "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/qlt1.var" "Seq_is_CC_CAuchy__". +alias id "qlt1" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/qlt1.var". -inline "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/c.var" "Seq_is_CC_CAuchy__". +alias id "c" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/c.var". -inline "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/zltc.var" "Seq_is_CC_CAuchy__". +alias id "zltc" = "cic:/CoRN/fta/FTAreg/Seq_is_CC_CAuchy/zltc.var". (*#* %\begin{convention}% Let: - [q_] prove [q[-]One [#] Zero] diff --git a/helm/software/matita/contribs/CoRN-Decl/fta/KeyLemma.ma b/helm/software/matita/contribs/CoRN-Decl/fta/KeyLemma.ma index d2e68338e..e3c5ba6f3 100644 --- a/helm/software/matita/contribs/CoRN-Decl/fta/KeyLemma.ma +++ b/helm/software/matita/contribs/CoRN-Decl/fta/KeyLemma.ma @@ -41,23 +41,23 @@ and [eps : IR] such that [(Zero [<] eps)] and [(eps [<=] a_0)]. %\end{convention}% *) -inline "cic:/CoRN/fta/KeyLemma/Key_Lemma/a.var" "Key_Lemma__". +alias id "a" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/a.var". -inline "cic:/CoRN/fta/KeyLemma/Key_Lemma/n.var" "Key_Lemma__". +alias id "n" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/n.var". -inline "cic:/CoRN/fta/KeyLemma/Key_Lemma/gt_n_0.var" "Key_Lemma__". +alias id "gt_n_0" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/gt_n_0.var". -inline "cic:/CoRN/fta/KeyLemma/Key_Lemma/eps.var" "Key_Lemma__". +alias id "eps" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/eps.var". -inline "cic:/CoRN/fta/KeyLemma/Key_Lemma/eps_pos.var" "Key_Lemma__". +alias id "eps_pos" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/eps_pos.var". -inline "cic:/CoRN/fta/KeyLemma/Key_Lemma/a_nonneg.var" "Key_Lemma__". +alias id "a_nonneg" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/a_nonneg.var". -inline "cic:/CoRN/fta/KeyLemma/Key_Lemma/a_n_1.var" "Key_Lemma__". +alias id "a_n_1" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/a_n_1.var". -inline "cic:/CoRN/fta/KeyLemma/Key_Lemma/a_0.var" "Key_Lemma__". +alias id "a_0" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/a_0.var". -inline "cic:/CoRN/fta/KeyLemma/Key_Lemma/eps_le_a_0.var" "Key_Lemma__". +alias id "eps_le_a_0" = "cic:/CoRN/fta/KeyLemma/Key_Lemma/eps_le_a_0.var". inline "cic:/CoRN/fta/KeyLemma/a_0_eps_nonneg.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/fta/KneserLemma.ma b/helm/software/matita/contribs/CoRN-Decl/fta/KneserLemma.ma index 4644e0c90..66d4a7500 100644 --- a/helm/software/matita/contribs/CoRN-Decl/fta/KneserLemma.ma +++ b/helm/software/matita/contribs/CoRN-Decl/fta/KneserLemma.ma @@ -43,11 +43,11 @@ such that [0 < n], [b_0 := b 0], [b_n := (b n) [=] One] and %\end{convention}% *) -inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b.var" "Kneser_Lemma__". +alias id "b" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b.var". -inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/n.var" "Kneser_Lemma__". +alias id "n" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/n.var". -inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/gt_n_0.var" "Kneser_Lemma__". +alias id "gt_n_0" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/gt_n_0.var". (* begin hide *) @@ -57,11 +57,11 @@ inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_n.con" "Kneser_Lemma__". (* end hide *) -inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_n_1.var" "Kneser_Lemma__". +alias id "b_n_1" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_n_1.var". -inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/c.var" "Kneser_Lemma__". +alias id "c" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/c.var". -inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_0_lt_c.var" "Kneser_Lemma__". +alias id "b_0_lt_c" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_0_lt_c.var". (*#* %\begin{convention}% We define the following local abbreviations: diff --git a/helm/software/matita/contribs/CoRN-Decl/fta/MainLemma.ma b/helm/software/matita/contribs/CoRN-Decl/fta/MainLemma.ma index c428b591d..385a37eff 100644 --- a/helm/software/matita/contribs/CoRN-Decl/fta/MainLemma.ma +++ b/helm/software/matita/contribs/CoRN-Decl/fta/MainLemma.ma @@ -45,23 +45,23 @@ Let [a : nat->IR], [n : nat], [a_0 : IR] and [eps : IR] such that [0 < n], %\end{convention}% *) -inline "cic:/CoRN/fta/MainLemma/Main_Lemma/a.var" "Main_Lemma__". +alias id "a" = "cic:/CoRN/fta/MainLemma/Main_Lemma/a.var". -inline "cic:/CoRN/fta/MainLemma/Main_Lemma/n.var" "Main_Lemma__". +alias id "n" = "cic:/CoRN/fta/MainLemma/Main_Lemma/n.var". -inline "cic:/CoRN/fta/MainLemma/Main_Lemma/gt_n_0.var" "Main_Lemma__". +alias id "gt_n_0" = "cic:/CoRN/fta/MainLemma/Main_Lemma/gt_n_0.var". -inline "cic:/CoRN/fta/MainLemma/Main_Lemma/eps.var" "Main_Lemma__". +alias id "eps" = "cic:/CoRN/fta/MainLemma/Main_Lemma/eps.var". -inline "cic:/CoRN/fta/MainLemma/Main_Lemma/eps_pos.var" "Main_Lemma__". +alias id "eps_pos" = "cic:/CoRN/fta/MainLemma/Main_Lemma/eps_pos.var". -inline "cic:/CoRN/fta/MainLemma/Main_Lemma/a_nonneg.var" "Main_Lemma__". +alias id "a_nonneg" = "cic:/CoRN/fta/MainLemma/Main_Lemma/a_nonneg.var". -inline "cic:/CoRN/fta/MainLemma/Main_Lemma/a_n_1.var" "Main_Lemma__". +alias id "a_n_1" = "cic:/CoRN/fta/MainLemma/Main_Lemma/a_n_1.var". -inline "cic:/CoRN/fta/MainLemma/Main_Lemma/a_0.var" "Main_Lemma__". +alias id "a_0" = "cic:/CoRN/fta/MainLemma/Main_Lemma/a_0.var". -inline "cic:/CoRN/fta/MainLemma/Main_Lemma/eps_le_a_0.var" "Main_Lemma__". +alias id "eps_le_a_0" = "cic:/CoRN/fta/MainLemma/Main_Lemma/eps_le_a_0.var". inline "cic:/CoRN/fta/MainLemma/a_0_pos.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/COrdLemmas.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/COrdLemmas.ma index be807b44a..c3701c29f 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/COrdLemmas.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/COrdLemmas.ma @@ -39,7 +39,7 @@ the proof that any two partitions with no common point have a common refinement). *) -inline "cic:/CoRN/ftc/COrdLemmas/Lemmas/F.var" "Lemmas__". +alias id "F" = "cic:/CoRN/ftc/COrdLemmas/Lemmas/F.var". inline "cic:/CoRN/ftc/COrdLemmas/om_fun_lt.con". @@ -65,13 +65,13 @@ inline "cic:/CoRN/ftc/COrdLemmas/om_fun_4d.con". (* begin hide *) -inline "cic:/CoRN/ftc/COrdLemmas/Lemmas/f.var" "Lemmas__". +alias id "f" = "cic:/CoRN/ftc/COrdLemmas/Lemmas/f.var". -inline "cic:/CoRN/ftc/COrdLemmas/Lemmas/f0.var" "Lemmas__". +alias id "f0" = "cic:/CoRN/ftc/COrdLemmas/Lemmas/f0.var". -inline "cic:/CoRN/ftc/COrdLemmas/Lemmas/f_mon.var" "Lemmas__". +alias id "f_mon" = "cic:/CoRN/ftc/COrdLemmas/Lemmas/f_mon.var". -inline "cic:/CoRN/ftc/COrdLemmas/Lemmas/h.var" "Lemmas__". +alias id "h" = "cic:/CoRN/ftc/COrdLemmas/Lemmas/h.var". (* end hide *) @@ -107,7 +107,7 @@ inline "cic:/CoRN/ftc/COrdLemmas/More_Lemmas/f'.con" "More_Lemmas__". (* end hide *) -inline "cic:/CoRN/ftc/COrdLemmas/More_Lemmas/F.var" "More_Lemmas__". +alias id "F" = "cic:/CoRN/ftc/COrdLemmas/More_Lemmas/F.var". (* begin show *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/Composition.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/Composition.ma index 16cbd166d..e5ae78e35 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/Composition.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/Composition.ma @@ -53,21 +53,21 @@ mapped into another compact interval. We define this concept for partial functions, and prove some trivial results. *) -inline "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/F.var" "Maps_into_Compacts__Part_Funct__". +alias id "F" = "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/F.var". -inline "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/G.var" "Maps_into_Compacts__Part_Funct__". +alias id "G" = "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/G.var". -inline "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/a.var" "Maps_into_Compacts__Part_Funct__". +alias id "a" = "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/a.var". -inline "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/b.var" "Maps_into_Compacts__Part_Funct__". +alias id "b" = "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/b.var". -inline "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/Hab.var" "Maps_into_Compacts__Part_Funct__". +alias id "Hab" = "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/Hab.var". -inline "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/c.var" "Maps_into_Compacts__Part_Funct__". +alias id "c" = "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/c.var". -inline "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/d.var" "Maps_into_Compacts__Part_Funct__". +alias id "d" = "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/d.var". -inline "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/Hcd.var" "Maps_into_Compacts__Part_Funct__". +alias id "Hcd" = "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/Hcd.var". (* begin hide *) @@ -77,7 +77,7 @@ inline "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/I.con" "Maps_int (* begin show *) -inline "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/Hf.var" "Maps_into_Compacts__Part_Funct__". +alias id "Hf" = "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/Hf.var". (* end show *) @@ -85,7 +85,7 @@ inline "cic:/CoRN/ftc/Composition/maps_into_compacts.con". (* begin show *) -inline "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/maps.var" "Maps_into_Compacts__Part_Funct__". +alias id "maps" = "cic:/CoRN/ftc/Composition/Maps_into_Compacts/Part_Funct/maps.var". (* end show *) @@ -114,29 +114,29 @@ As was the case for division of partial functions, this condition completely characterizes the domain of the composite function. *) -inline "cic:/CoRN/ftc/Composition/Mapping/F.var" "Mapping__". +alias id "F" = "cic:/CoRN/ftc/Composition/Mapping/F.var". -inline "cic:/CoRN/ftc/Composition/Mapping/G.var" "Mapping__". +alias id "G" = "cic:/CoRN/ftc/Composition/Mapping/G.var". -inline "cic:/CoRN/ftc/Composition/Mapping/a.var" "Mapping__". +alias id "a" = "cic:/CoRN/ftc/Composition/Mapping/a.var". -inline "cic:/CoRN/ftc/Composition/Mapping/b.var" "Mapping__". +alias id "b" = "cic:/CoRN/ftc/Composition/Mapping/b.var". -inline "cic:/CoRN/ftc/Composition/Mapping/Hab.var" "Mapping__". +alias id "Hab" = "cic:/CoRN/ftc/Composition/Mapping/Hab.var". -inline "cic:/CoRN/ftc/Composition/Mapping/c.var" "Mapping__". +alias id "c" = "cic:/CoRN/ftc/Composition/Mapping/c.var". -inline "cic:/CoRN/ftc/Composition/Mapping/d.var" "Mapping__". +alias id "d" = "cic:/CoRN/ftc/Composition/Mapping/d.var". -inline "cic:/CoRN/ftc/Composition/Mapping/Hcd.var" "Mapping__". +alias id "Hcd" = "cic:/CoRN/ftc/Composition/Mapping/Hcd.var". (* begin show *) -inline "cic:/CoRN/ftc/Composition/Mapping/Hf.var" "Mapping__". +alias id "Hf" = "cic:/CoRN/ftc/Composition/Mapping/Hf.var". -inline "cic:/CoRN/ftc/Composition/Mapping/Hg.var" "Mapping__". +alias id "Hg" = "cic:/CoRN/ftc/Composition/Mapping/Hg.var". -inline "cic:/CoRN/ftc/Composition/Mapping/maps.var" "Mapping__". +alias id "maps" = "cic:/CoRN/ftc/Composition/Mapping/maps.var". (* end show *) @@ -155,11 +155,11 @@ Section Interval_Continuity We now prove that the composition of two continuous partial functions is continuous. *) -inline "cic:/CoRN/ftc/Composition/Interval_Continuity/a.var" "Interval_Continuity__". +alias id "a" = "cic:/CoRN/ftc/Composition/Interval_Continuity/a.var". -inline "cic:/CoRN/ftc/Composition/Interval_Continuity/b.var" "Interval_Continuity__". +alias id "b" = "cic:/CoRN/ftc/Composition/Interval_Continuity/b.var". -inline "cic:/CoRN/ftc/Composition/Interval_Continuity/Hab.var" "Interval_Continuity__". +alias id "Hab" = "cic:/CoRN/ftc/Composition/Interval_Continuity/Hab.var". (* begin hide *) @@ -167,23 +167,23 @@ inline "cic:/CoRN/ftc/Composition/Interval_Continuity/I.con" "Interval_Continuit (* end hide *) -inline "cic:/CoRN/ftc/Composition/Interval_Continuity/c.var" "Interval_Continuity__". +alias id "c" = "cic:/CoRN/ftc/Composition/Interval_Continuity/c.var". -inline "cic:/CoRN/ftc/Composition/Interval_Continuity/d.var" "Interval_Continuity__". +alias id "d" = "cic:/CoRN/ftc/Composition/Interval_Continuity/d.var". -inline "cic:/CoRN/ftc/Composition/Interval_Continuity/Hcd.var" "Interval_Continuity__". +alias id "Hcd" = "cic:/CoRN/ftc/Composition/Interval_Continuity/Hcd.var". -inline "cic:/CoRN/ftc/Composition/Interval_Continuity/F.var" "Interval_Continuity__". +alias id "F" = "cic:/CoRN/ftc/Composition/Interval_Continuity/F.var". -inline "cic:/CoRN/ftc/Composition/Interval_Continuity/G.var" "Interval_Continuity__". +alias id "G" = "cic:/CoRN/ftc/Composition/Interval_Continuity/G.var". (* begin show *) -inline "cic:/CoRN/ftc/Composition/Interval_Continuity/contF.var" "Interval_Continuity__". +alias id "contF" = "cic:/CoRN/ftc/Composition/Interval_Continuity/contF.var". -inline "cic:/CoRN/ftc/Composition/Interval_Continuity/contG.var" "Interval_Continuity__". +alias id "contG" = "cic:/CoRN/ftc/Composition/Interval_Continuity/contG.var". -inline "cic:/CoRN/ftc/Composition/Interval_Continuity/Hmap.var" "Interval_Continuity__". +alias id "Hmap" = "cic:/CoRN/ftc/Composition/Interval_Continuity/Hmap.var". (* end show *) @@ -202,25 +202,25 @@ Section Derivative We now work with the derivative relation and prove the chain rule for partial functions. *) -inline "cic:/CoRN/ftc/Composition/Derivative/F.var" "Derivative__". +alias id "F" = "cic:/CoRN/ftc/Composition/Derivative/F.var". -inline "cic:/CoRN/ftc/Composition/Derivative/F'.var" "Derivative__". +alias id "F'" = "cic:/CoRN/ftc/Composition/Derivative/F'.var". -inline "cic:/CoRN/ftc/Composition/Derivative/G.var" "Derivative__". +alias id "G" = "cic:/CoRN/ftc/Composition/Derivative/G.var". -inline "cic:/CoRN/ftc/Composition/Derivative/G'.var" "Derivative__". +alias id "G'" = "cic:/CoRN/ftc/Composition/Derivative/G'.var". -inline "cic:/CoRN/ftc/Composition/Derivative/a.var" "Derivative__". +alias id "a" = "cic:/CoRN/ftc/Composition/Derivative/a.var". -inline "cic:/CoRN/ftc/Composition/Derivative/b.var" "Derivative__". +alias id "b" = "cic:/CoRN/ftc/Composition/Derivative/b.var". -inline "cic:/CoRN/ftc/Composition/Derivative/Hab'.var" "Derivative__". +alias id "Hab'" = "cic:/CoRN/ftc/Composition/Derivative/Hab'.var". -inline "cic:/CoRN/ftc/Composition/Derivative/c.var" "Derivative__". +alias id "c" = "cic:/CoRN/ftc/Composition/Derivative/c.var". -inline "cic:/CoRN/ftc/Composition/Derivative/d.var" "Derivative__". +alias id "d" = "cic:/CoRN/ftc/Composition/Derivative/d.var". -inline "cic:/CoRN/ftc/Composition/Derivative/Hcd'.var" "Derivative__". +alias id "Hcd'" = "cic:/CoRN/ftc/Composition/Derivative/Hcd'.var". (* begin hide *) @@ -234,11 +234,11 @@ inline "cic:/CoRN/ftc/Composition/Derivative/I.con" "Derivative__". (* begin show *) -inline "cic:/CoRN/ftc/Composition/Derivative/derF.var" "Derivative__". +alias id "derF" = "cic:/CoRN/ftc/Composition/Derivative/derF.var". -inline "cic:/CoRN/ftc/Composition/Derivative/derG.var" "Derivative__". +alias id "derG" = "cic:/CoRN/ftc/Composition/Derivative/derG.var". -inline "cic:/CoRN/ftc/Composition/Derivative/Hmap.var" "Derivative__". +alias id "Hmap" = "cic:/CoRN/ftc/Composition/Derivative/Hmap.var". (* end show *) @@ -267,21 +267,21 @@ Section Differentiability Finally, we move on to differentiability. *) -inline "cic:/CoRN/ftc/Composition/Differentiability/F.var" "Differentiability__". +alias id "F" = "cic:/CoRN/ftc/Composition/Differentiability/F.var". -inline "cic:/CoRN/ftc/Composition/Differentiability/G.var" "Differentiability__". +alias id "G" = "cic:/CoRN/ftc/Composition/Differentiability/G.var". -inline "cic:/CoRN/ftc/Composition/Differentiability/a.var" "Differentiability__". +alias id "a" = "cic:/CoRN/ftc/Composition/Differentiability/a.var". -inline "cic:/CoRN/ftc/Composition/Differentiability/b.var" "Differentiability__". +alias id "b" = "cic:/CoRN/ftc/Composition/Differentiability/b.var". -inline "cic:/CoRN/ftc/Composition/Differentiability/Hab'.var" "Differentiability__". +alias id "Hab'" = "cic:/CoRN/ftc/Composition/Differentiability/Hab'.var". -inline "cic:/CoRN/ftc/Composition/Differentiability/c.var" "Differentiability__". +alias id "c" = "cic:/CoRN/ftc/Composition/Differentiability/c.var". -inline "cic:/CoRN/ftc/Composition/Differentiability/d.var" "Differentiability__". +alias id "d" = "cic:/CoRN/ftc/Composition/Differentiability/d.var". -inline "cic:/CoRN/ftc/Composition/Differentiability/Hcd'.var" "Differentiability__". +alias id "Hcd'" = "cic:/CoRN/ftc/Composition/Differentiability/Hcd'.var". (* begin hide *) @@ -295,11 +295,11 @@ inline "cic:/CoRN/ftc/Composition/Differentiability/I.con" "Differentiability__" (* begin show *) -inline "cic:/CoRN/ftc/Composition/Differentiability/diffF.var" "Differentiability__". +alias id "diffF" = "cic:/CoRN/ftc/Composition/Differentiability/diffF.var". -inline "cic:/CoRN/ftc/Composition/Differentiability/diffG.var" "Differentiability__". +alias id "diffG" = "cic:/CoRN/ftc/Composition/Differentiability/diffG.var". -inline "cic:/CoRN/ftc/Composition/Differentiability/Hmap.var" "Differentiability__". +alias id "Hmap" = "cic:/CoRN/ftc/Composition/Differentiability/Hmap.var". (* end show *) @@ -321,13 +321,13 @@ We now generalize this results to arbitrary intervals. We begin by generalizing %\end{convention}% *) -inline "cic:/CoRN/ftc/Composition/Generalized_Intervals/I.var" "Generalized_Intervals__". +alias id "I" = "cic:/CoRN/ftc/Composition/Generalized_Intervals/I.var". -inline "cic:/CoRN/ftc/Composition/Generalized_Intervals/J.var" "Generalized_Intervals__". +alias id "J" = "cic:/CoRN/ftc/Composition/Generalized_Intervals/J.var". -inline "cic:/CoRN/ftc/Composition/Generalized_Intervals/pI.var" "Generalized_Intervals__". +alias id "pI" = "cic:/CoRN/ftc/Composition/Generalized_Intervals/pI.var". -inline "cic:/CoRN/ftc/Composition/Generalized_Intervals/pJ.var" "Generalized_Intervals__". +alias id "pJ" = "cic:/CoRN/ftc/Composition/Generalized_Intervals/pJ.var". inline "cic:/CoRN/ftc/Composition/maps_compacts_into.con". @@ -337,17 +337,17 @@ Now everything comes naturally: inline "cic:/CoRN/ftc/Composition/comp_inc_lemma.con". -inline "cic:/CoRN/ftc/Composition/Generalized_Intervals/F.var" "Generalized_Intervals__". +alias id "F" = "cic:/CoRN/ftc/Composition/Generalized_Intervals/F.var". -inline "cic:/CoRN/ftc/Composition/Generalized_Intervals/F'.var" "Generalized_Intervals__". +alias id "F'" = "cic:/CoRN/ftc/Composition/Generalized_Intervals/F'.var". -inline "cic:/CoRN/ftc/Composition/Generalized_Intervals/G.var" "Generalized_Intervals__". +alias id "G" = "cic:/CoRN/ftc/Composition/Generalized_Intervals/G.var". -inline "cic:/CoRN/ftc/Composition/Generalized_Intervals/G'.var" "Generalized_Intervals__". +alias id "G'" = "cic:/CoRN/ftc/Composition/Generalized_Intervals/G'.var". (* begin show *) -inline "cic:/CoRN/ftc/Composition/Generalized_Intervals/Hmap.var" "Generalized_Intervals__". +alias id "Hmap" = "cic:/CoRN/ftc/Composition/Generalized_Intervals/Hmap.var". (* end show *) @@ -355,7 +355,7 @@ inline "cic:/CoRN/ftc/Composition/Continuous_comp.con". (* begin show *) -inline "cic:/CoRN/ftc/Composition/Generalized_Intervals/Hmap'.var" "Generalized_Intervals__". +alias id "Hmap'" = "cic:/CoRN/ftc/Composition/Generalized_Intervals/Hmap'.var". (* end show *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/Continuity.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/Continuity.ma index 59ddd4f45..6f884860a 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/Continuity.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/Continuity.ma @@ -54,11 +54,11 @@ respectively [P, Q] and [R]. Here we define continuity and prove some basic properties of continuous functions. *) -inline "cic:/CoRN/ftc/Continuity/Definitions_and_Basic_Results/a.var" "Definitions_and_Basic_Results__". +alias id "a" = "cic:/CoRN/ftc/Continuity/Definitions_and_Basic_Results/a.var". -inline "cic:/CoRN/ftc/Continuity/Definitions_and_Basic_Results/b.var" "Definitions_and_Basic_Results__". +alias id "b" = "cic:/CoRN/ftc/Continuity/Definitions_and_Basic_Results/b.var". -inline "cic:/CoRN/ftc/Continuity/Definitions_and_Basic_Results/Hab.var" "Definitions_and_Basic_Results__". +alias id "Hab" = "cic:/CoRN/ftc/Continuity/Definitions_and_Basic_Results/Hab.var". (* begin hide *) @@ -66,7 +66,7 @@ inline "cic:/CoRN/ftc/Continuity/Definitions_and_Basic_Results/I.con" "Definitio (* end hide *) -inline "cic:/CoRN/ftc/Continuity/Definitions_and_Basic_Results/F.var" "Definitions_and_Basic_Results__". +alias id "F" = "cic:/CoRN/ftc/Continuity/Definitions_and_Basic_Results/F.var". (* begin hide *) @@ -88,7 +88,7 @@ inline "cic:/CoRN/ftc/Continuity/contin_prop.con". Assume [F] to be continuous in [I]. Then it has a least upper bound and a greater lower bound on [I]. *) -inline "cic:/CoRN/ftc/Continuity/Definitions_and_Basic_Results/contF.var" "Definitions_and_Basic_Results__". +alias id "contF" = "cic:/CoRN/ftc/Continuity/Definitions_and_Basic_Results/contF.var". (* begin hide *) @@ -173,11 +173,11 @@ Section Local_Results We now state and prove some results about continuous functions. Assume that [I] is included in the domain of both [F] and [G]. *) -inline "cic:/CoRN/ftc/Continuity/Local_Results/a.var" "Local_Results__". +alias id "a" = "cic:/CoRN/ftc/Continuity/Local_Results/a.var". -inline "cic:/CoRN/ftc/Continuity/Local_Results/b.var" "Local_Results__". +alias id "b" = "cic:/CoRN/ftc/Continuity/Local_Results/b.var". -inline "cic:/CoRN/ftc/Continuity/Local_Results/Hab.var" "Local_Results__". +alias id "Hab" = "cic:/CoRN/ftc/Continuity/Local_Results/Hab.var". (* begin hide *) @@ -185,9 +185,9 @@ inline "cic:/CoRN/ftc/Continuity/Local_Results/I.con" "Local_Results__". (* end hide *) -inline "cic:/CoRN/ftc/Continuity/Local_Results/F.var" "Local_Results__". +alias id "F" = "cic:/CoRN/ftc/Continuity/Local_Results/F.var". -inline "cic:/CoRN/ftc/Continuity/Local_Results/G.var" "Local_Results__". +alias id "G" = "cic:/CoRN/ftc/Continuity/Local_Results/G.var". (* begin hide *) @@ -197,9 +197,9 @@ inline "cic:/CoRN/ftc/Continuity/Local_Results/Q.con" "Local_Results__". (* end hide *) -inline "cic:/CoRN/ftc/Continuity/Local_Results/incF.var" "Local_Results__". +alias id "incF" = "cic:/CoRN/ftc/Continuity/Local_Results/incF.var". -inline "cic:/CoRN/ftc/Continuity/Local_Results/incG.var" "Local_Results__". +alias id "incG" = "cic:/CoRN/ftc/Continuity/Local_Results/incG.var". (*#* The first result does not require the function to be continuous; however, its preconditions are easily verified by continuous functions, which justifies its inclusion in this section. @@ -235,9 +235,9 @@ inline "cic:/CoRN/ftc/Continuity/Continuous_I_id.con". Assume [F] and [G] are continuous in [I]. Then functions derived from these through algebraic operations are also continuous, provided (in the case of reciprocal and division) some extra conditions are met. *) -inline "cic:/CoRN/ftc/Continuity/Local_Results/contF.var" "Local_Results__". +alias id "contF" = "cic:/CoRN/ftc/Continuity/Local_Results/contF.var". -inline "cic:/CoRN/ftc/Continuity/Local_Results/contG.var" "Local_Results__". +alias id "contG" = "cic:/CoRN/ftc/Continuity/Local_Results/contG.var". inline "cic:/CoRN/ftc/Continuity/Continuous_I_plus.con". @@ -257,9 +257,9 @@ inline "cic:/CoRN/ftc/Continuity/Continuous_I_max.con". (* begin show *) -inline "cic:/CoRN/ftc/Continuity/Local_Results/Hg'.var" "Local_Results__". +alias id "Hg'" = "cic:/CoRN/ftc/Continuity/Local_Results/Hg'.var". -inline "cic:/CoRN/ftc/Continuity/Local_Results/Hg''.var" "Local_Results__". +alias id "Hg''" = "cic:/CoRN/ftc/Continuity/Local_Results/Hg''.var". (* end show *) @@ -277,11 +277,11 @@ Hint Resolve contin_imp_inc: included. Section Corolaries *) -inline "cic:/CoRN/ftc/Continuity/Corolaries/a.var" "Corolaries__". +alias id "a" = "cic:/CoRN/ftc/Continuity/Corolaries/a.var". -inline "cic:/CoRN/ftc/Continuity/Corolaries/b.var" "Corolaries__". +alias id "b" = "cic:/CoRN/ftc/Continuity/Corolaries/b.var". -inline "cic:/CoRN/ftc/Continuity/Corolaries/Hab.var" "Corolaries__". +alias id "Hab" = "cic:/CoRN/ftc/Continuity/Corolaries/Hab.var". (* begin hide *) @@ -289,9 +289,9 @@ inline "cic:/CoRN/ftc/Continuity/Corolaries/I.con" "Corolaries__". (* end hide *) -inline "cic:/CoRN/ftc/Continuity/Corolaries/F.var" "Corolaries__". +alias id "F" = "cic:/CoRN/ftc/Continuity/Corolaries/F.var". -inline "cic:/CoRN/ftc/Continuity/Corolaries/G.var" "Corolaries__". +alias id "G" = "cic:/CoRN/ftc/Continuity/Corolaries/G.var". (* begin hide *) @@ -301,9 +301,9 @@ inline "cic:/CoRN/ftc/Continuity/Corolaries/Q.con" "Corolaries__". (* end hide *) -inline "cic:/CoRN/ftc/Continuity/Corolaries/contF.var" "Corolaries__". +alias id "contF" = "cic:/CoRN/ftc/Continuity/Corolaries/contF.var". -inline "cic:/CoRN/ftc/Continuity/Corolaries/contG.var" "Corolaries__". +alias id "contG" = "cic:/CoRN/ftc/Continuity/Corolaries/contG.var". (*#* The corresponding properties for subtraction, division and @@ -322,9 +322,9 @@ inline "cic:/CoRN/ftc/Continuity/Continuous_I_min.con". inline "cic:/CoRN/ftc/Continuity/Continuous_I_abs.con". -inline "cic:/CoRN/ftc/Continuity/Corolaries/Hg'.var" "Corolaries__". +alias id "Hg'" = "cic:/CoRN/ftc/Continuity/Corolaries/Hg'.var". -inline "cic:/CoRN/ftc/Continuity/Corolaries/Hg''.var" "Corolaries__". +alias id "Hg''" = "cic:/CoRN/ftc/Continuity/Corolaries/Hg''.var". inline "cic:/CoRN/ftc/Continuity/Continuous_I_div.con". @@ -344,13 +344,13 @@ Section Sums We finally prove that the sum of an arbitrary family of continuous functions is still a continuous function. *) -inline "cic:/CoRN/ftc/Continuity/Other/Sums/a.var" "Other__Sums__". +alias id "a" = "cic:/CoRN/ftc/Continuity/Other/Sums/a.var". -inline "cic:/CoRN/ftc/Continuity/Other/Sums/b.var" "Other__Sums__". +alias id "b" = "cic:/CoRN/ftc/Continuity/Other/Sums/b.var". -inline "cic:/CoRN/ftc/Continuity/Other/Sums/Hab.var" "Other__Sums__". +alias id "Hab" = "cic:/CoRN/ftc/Continuity/Other/Sums/Hab.var". -inline "cic:/CoRN/ftc/Continuity/Other/Sums/Hab'.var" "Other__Sums__". +alias id "Hab'" = "cic:/CoRN/ftc/Continuity/Other/Sums/Hab'.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/Derivative.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/Derivative.ma index 6d380017d..8c983b129 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/Derivative.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/Derivative.ma @@ -53,11 +53,11 @@ will be partial functions with domains respectively [P, P', Q, Q'] and %\end{convention}% *) -inline "cic:/CoRN/ftc/Derivative/Definitions/a.var" "Definitions__". +alias id "a" = "cic:/CoRN/ftc/Derivative/Definitions/a.var". -inline "cic:/CoRN/ftc/Derivative/Definitions/b.var" "Definitions__". +alias id "b" = "cic:/CoRN/ftc/Derivative/Definitions/b.var". -inline "cic:/CoRN/ftc/Derivative/Definitions/Hab'.var" "Definitions__". +alias id "Hab'" = "cic:/CoRN/ftc/Derivative/Definitions/Hab'.var". (* begin hide *) @@ -67,7 +67,7 @@ inline "cic:/CoRN/ftc/Derivative/Definitions/I.con" "Definitions__". (* end hide *) -inline "cic:/CoRN/ftc/Derivative/Definitions/F.var" "Definitions__". +alias id "F" = "cic:/CoRN/ftc/Derivative/Definitions/F.var". (* begin hide *) @@ -92,11 +92,11 @@ Section Basic_Properties (*#* **Basic Properties *) -inline "cic:/CoRN/ftc/Derivative/Basic_Properties/a.var" "Basic_Properties__". +alias id "a" = "cic:/CoRN/ftc/Derivative/Basic_Properties/a.var". -inline "cic:/CoRN/ftc/Derivative/Basic_Properties/b.var" "Basic_Properties__". +alias id "b" = "cic:/CoRN/ftc/Derivative/Basic_Properties/b.var". -inline "cic:/CoRN/ftc/Derivative/Basic_Properties/Hab'.var" "Basic_Properties__". +alias id "Hab'" = "cic:/CoRN/ftc/Derivative/Basic_Properties/Hab'.var". (* begin hide *) @@ -118,11 +118,11 @@ inline "cic:/CoRN/ftc/Derivative/Derivative_I_char.con". Derivative is a well defined relation; we will make this explicit for both arguments: *) -inline "cic:/CoRN/ftc/Derivative/Basic_Properties/F.var" "Basic_Properties__". +alias id "F" = "cic:/CoRN/ftc/Derivative/Basic_Properties/F.var". -inline "cic:/CoRN/ftc/Derivative/Basic_Properties/G.var" "Basic_Properties__". +alias id "G" = "cic:/CoRN/ftc/Derivative/Basic_Properties/G.var". -inline "cic:/CoRN/ftc/Derivative/Basic_Properties/H.var" "Basic_Properties__". +alias id "H" = "cic:/CoRN/ftc/Derivative/Basic_Properties/H.var". (* begin hide *) @@ -162,7 +162,7 @@ inline "cic:/CoRN/ftc/Derivative/derivative_imp_inc'.con". Any function that is or has a derivative is continuous. *) -inline "cic:/CoRN/ftc/Derivative/Basic_Properties/Hab''.var" "Basic_Properties__". +alias id "Hab''" = "cic:/CoRN/ftc/Derivative/Basic_Properties/Hab''.var". inline "cic:/CoRN/ftc/Derivative/deriv_imp_contin'_I.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/DerivativeOps.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/DerivativeOps.ma index b9b7016d3..bd3023428 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/DerivativeOps.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/DerivativeOps.ma @@ -38,11 +38,11 @@ context.%}.% We begin with some technical stuff that will be necessary for division. *) -inline "cic:/CoRN/ftc/DerivativeOps/Lemmas/a.var" "Lemmas__". +alias id "a" = "cic:/CoRN/ftc/DerivativeOps/Lemmas/a.var". -inline "cic:/CoRN/ftc/DerivativeOps/Lemmas/b.var" "Lemmas__". +alias id "b" = "cic:/CoRN/ftc/DerivativeOps/Lemmas/b.var". -inline "cic:/CoRN/ftc/DerivativeOps/Lemmas/Hab.var" "Lemmas__". +alias id "Hab" = "cic:/CoRN/ftc/DerivativeOps/Lemmas/Hab.var". (* begin hide *) @@ -50,7 +50,7 @@ inline "cic:/CoRN/ftc/DerivativeOps/Lemmas/I.con" "Lemmas__". (* end hide *) -inline "cic:/CoRN/ftc/DerivativeOps/Lemmas/F.var" "Lemmas__". +alias id "F" = "cic:/CoRN/ftc/DerivativeOps/Lemmas/F.var". (* begin hide *) @@ -60,7 +60,7 @@ inline "cic:/CoRN/ftc/DerivativeOps/Lemmas/P.con" "Lemmas__". (* begin show *) -inline "cic:/CoRN/ftc/DerivativeOps/Lemmas/Fbnd.var" "Lemmas__". +alias id "Fbnd" = "cic:/CoRN/ftc/DerivativeOps/Lemmas/Fbnd.var". (* end show *) @@ -83,11 +83,11 @@ Section Local_Results We can now derive all the usual rules for deriving constant and identity functions, sums, inverses and products of functions with a known derivative. *) -inline "cic:/CoRN/ftc/DerivativeOps/Local_Results/a.var" "Local_Results__". +alias id "a" = "cic:/CoRN/ftc/DerivativeOps/Local_Results/a.var". -inline "cic:/CoRN/ftc/DerivativeOps/Local_Results/b.var" "Local_Results__". +alias id "b" = "cic:/CoRN/ftc/DerivativeOps/Local_Results/b.var". -inline "cic:/CoRN/ftc/DerivativeOps/Local_Results/Hab'.var" "Local_Results__". +alias id "Hab'" = "cic:/CoRN/ftc/DerivativeOps/Local_Results/Hab'.var". (* begin hide *) @@ -101,17 +101,17 @@ inline "cic:/CoRN/ftc/DerivativeOps/Derivative_I_const.con". inline "cic:/CoRN/ftc/DerivativeOps/Derivative_I_id.con". -inline "cic:/CoRN/ftc/DerivativeOps/Local_Results/F.var" "Local_Results__". +alias id "F" = "cic:/CoRN/ftc/DerivativeOps/Local_Results/F.var". -inline "cic:/CoRN/ftc/DerivativeOps/Local_Results/F'.var" "Local_Results__". +alias id "F'" = "cic:/CoRN/ftc/DerivativeOps/Local_Results/F'.var". -inline "cic:/CoRN/ftc/DerivativeOps/Local_Results/G.var" "Local_Results__". +alias id "G" = "cic:/CoRN/ftc/DerivativeOps/Local_Results/G.var". -inline "cic:/CoRN/ftc/DerivativeOps/Local_Results/G'.var" "Local_Results__". +alias id "G'" = "cic:/CoRN/ftc/DerivativeOps/Local_Results/G'.var". -inline "cic:/CoRN/ftc/DerivativeOps/Local_Results/derF.var" "Local_Results__". +alias id "derF" = "cic:/CoRN/ftc/DerivativeOps/Local_Results/derF.var". -inline "cic:/CoRN/ftc/DerivativeOps/Local_Results/derG.var" "Local_Results__". +alias id "derG" = "cic:/CoRN/ftc/DerivativeOps/Local_Results/derG.var". inline "cic:/CoRN/ftc/DerivativeOps/Derivative_I_plus.con". @@ -125,7 +125,7 @@ As was the case for continuity, the rule for the reciprocal function has a side (* begin show *) -inline "cic:/CoRN/ftc/DerivativeOps/Local_Results/Fbnd.var" "Local_Results__". +alias id "Fbnd" = "cic:/CoRN/ftc/DerivativeOps/Local_Results/Fbnd.var". (* end show *) @@ -148,11 +148,11 @@ Hint Resolve Derivative_I_const Derivative_I_id Derivative_I_plus Section Corolaries *) -inline "cic:/CoRN/ftc/DerivativeOps/Corolaries/a.var" "Corolaries__". +alias id "a" = "cic:/CoRN/ftc/DerivativeOps/Corolaries/a.var". -inline "cic:/CoRN/ftc/DerivativeOps/Corolaries/b.var" "Corolaries__". +alias id "b" = "cic:/CoRN/ftc/DerivativeOps/Corolaries/b.var". -inline "cic:/CoRN/ftc/DerivativeOps/Corolaries/Hab'.var" "Corolaries__". +alias id "Hab'" = "cic:/CoRN/ftc/DerivativeOps/Corolaries/Hab'.var". (* begin hide *) @@ -162,17 +162,17 @@ inline "cic:/CoRN/ftc/DerivativeOps/Corolaries/I.con" "Corolaries__". (* end hide *) -inline "cic:/CoRN/ftc/DerivativeOps/Corolaries/F.var" "Corolaries__". +alias id "F" = "cic:/CoRN/ftc/DerivativeOps/Corolaries/F.var". -inline "cic:/CoRN/ftc/DerivativeOps/Corolaries/F'.var" "Corolaries__". +alias id "F'" = "cic:/CoRN/ftc/DerivativeOps/Corolaries/F'.var". -inline "cic:/CoRN/ftc/DerivativeOps/Corolaries/G.var" "Corolaries__". +alias id "G" = "cic:/CoRN/ftc/DerivativeOps/Corolaries/G.var". -inline "cic:/CoRN/ftc/DerivativeOps/Corolaries/G'.var" "Corolaries__". +alias id "G'" = "cic:/CoRN/ftc/DerivativeOps/Corolaries/G'.var". -inline "cic:/CoRN/ftc/DerivativeOps/Corolaries/derF.var" "Corolaries__". +alias id "derF" = "cic:/CoRN/ftc/DerivativeOps/Corolaries/derF.var". -inline "cic:/CoRN/ftc/DerivativeOps/Corolaries/derG.var" "Corolaries__". +alias id "derG" = "cic:/CoRN/ftc/DerivativeOps/Corolaries/derG.var". (*#* From this lemmas the rules for the other algebraic operations follow directly. @@ -184,7 +184,7 @@ inline "cic:/CoRN/ftc/DerivativeOps/Derivative_I_scal.con". inline "cic:/CoRN/ftc/DerivativeOps/Derivative_I_nth.con". -inline "cic:/CoRN/ftc/DerivativeOps/Corolaries/Gbnd.var" "Corolaries__". +alias id "Gbnd" = "cic:/CoRN/ftc/DerivativeOps/Corolaries/Gbnd.var". inline "cic:/CoRN/ftc/DerivativeOps/Derivative_I_div.con". @@ -205,13 +205,13 @@ Section Derivative_Sums induction using the constant and addition rules. *) -inline "cic:/CoRN/ftc/DerivativeOps/Derivative_Sums/a.var" "Derivative_Sums__". +alias id "a" = "cic:/CoRN/ftc/DerivativeOps/Derivative_Sums/a.var". -inline "cic:/CoRN/ftc/DerivativeOps/Derivative_Sums/b.var" "Derivative_Sums__". +alias id "b" = "cic:/CoRN/ftc/DerivativeOps/Derivative_Sums/b.var". -inline "cic:/CoRN/ftc/DerivativeOps/Derivative_Sums/Hab.var" "Derivative_Sums__". +alias id "Hab" = "cic:/CoRN/ftc/DerivativeOps/Derivative_Sums/Hab.var". -inline "cic:/CoRN/ftc/DerivativeOps/Derivative_Sums/Hab'.var" "Derivative_Sums__". +alias id "Hab'" = "cic:/CoRN/ftc/DerivativeOps/Derivative_Sums/Hab'.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/Differentiability.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/Differentiability.ma index aeb3bdcec..812a91e02 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/Differentiability.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/Differentiability.ma @@ -84,11 +84,11 @@ inline "cic:/CoRN/ftc/Differentiability/included_imp_diffble.con". A function differentiable in an interval is everywhere defined in that interval. *) -inline "cic:/CoRN/ftc/Differentiability/Local_Properties/a.var" "Local_Properties__". +alias id "a" = "cic:/CoRN/ftc/Differentiability/Local_Properties/a.var". -inline "cic:/CoRN/ftc/Differentiability/Local_Properties/b.var" "Local_Properties__". +alias id "b" = "cic:/CoRN/ftc/Differentiability/Local_Properties/b.var". -inline "cic:/CoRN/ftc/Differentiability/Local_Properties/Hab'.var" "Local_Properties__". +alias id "Hab'" = "cic:/CoRN/ftc/Differentiability/Local_Properties/Hab'.var". (* begin hide *) @@ -122,11 +122,11 @@ Section Operations All the algebraic results carry on. *) -inline "cic:/CoRN/ftc/Differentiability/Operations/a.var" "Operations__". +alias id "a" = "cic:/CoRN/ftc/Differentiability/Operations/a.var". -inline "cic:/CoRN/ftc/Differentiability/Operations/b.var" "Operations__". +alias id "b" = "cic:/CoRN/ftc/Differentiability/Operations/b.var". -inline "cic:/CoRN/ftc/Differentiability/Operations/Hab'.var" "Operations__". +alias id "Hab'" = "cic:/CoRN/ftc/Differentiability/Operations/Hab'.var". (* begin hide *) @@ -152,11 +152,11 @@ End Constants Section Well_Definedness *) -inline "cic:/CoRN/ftc/Differentiability/Operations/Well_Definedness/F.var" "Operations__Well_Definedness__". +alias id "F" = "cic:/CoRN/ftc/Differentiability/Operations/Well_Definedness/F.var". -inline "cic:/CoRN/ftc/Differentiability/Operations/Well_Definedness/H.var" "Operations__Well_Definedness__". +alias id "H" = "cic:/CoRN/ftc/Differentiability/Operations/Well_Definedness/H.var". -inline "cic:/CoRN/ftc/Differentiability/Operations/Well_Definedness/diffF.var" "Operations__Well_Definedness__". +alias id "diffF" = "cic:/CoRN/ftc/Differentiability/Operations/Well_Definedness/diffF.var". inline "cic:/CoRN/ftc/Differentiability/Diffble_I_wd.con". @@ -164,13 +164,13 @@ inline "cic:/CoRN/ftc/Differentiability/Diffble_I_wd.con". End Well_Definedness *) -inline "cic:/CoRN/ftc/Differentiability/Operations/F.var" "Operations__". +alias id "F" = "cic:/CoRN/ftc/Differentiability/Operations/F.var". -inline "cic:/CoRN/ftc/Differentiability/Operations/G.var" "Operations__". +alias id "G" = "cic:/CoRN/ftc/Differentiability/Operations/G.var". -inline "cic:/CoRN/ftc/Differentiability/Operations/diffF.var" "Operations__". +alias id "diffF" = "cic:/CoRN/ftc/Differentiability/Operations/diffF.var". -inline "cic:/CoRN/ftc/Differentiability/Operations/diffG.var" "Operations__". +alias id "diffG" = "cic:/CoRN/ftc/Differentiability/Operations/diffG.var". inline "cic:/CoRN/ftc/Differentiability/Diffble_I_plus.con". @@ -180,7 +180,7 @@ inline "cic:/CoRN/ftc/Differentiability/Diffble_I_mult.con". (* begin show *) -inline "cic:/CoRN/ftc/Differentiability/Operations/Gbnd.var" "Operations__". +alias id "Gbnd" = "cic:/CoRN/ftc/Differentiability/Operations/Gbnd.var". (* end show *) @@ -194,11 +194,11 @@ End Operations Section Corollaries *) -inline "cic:/CoRN/ftc/Differentiability/Corollaries/a.var" "Corollaries__". +alias id "a" = "cic:/CoRN/ftc/Differentiability/Corollaries/a.var". -inline "cic:/CoRN/ftc/Differentiability/Corollaries/b.var" "Corollaries__". +alias id "b" = "cic:/CoRN/ftc/Differentiability/Corollaries/b.var". -inline "cic:/CoRN/ftc/Differentiability/Corollaries/Hab'.var" "Corollaries__". +alias id "Hab'" = "cic:/CoRN/ftc/Differentiability/Corollaries/Hab'.var". (* begin hide *) @@ -208,13 +208,13 @@ inline "cic:/CoRN/ftc/Differentiability/Corollaries/I.con" "Corollaries__". (* end hide *) -inline "cic:/CoRN/ftc/Differentiability/Corollaries/F.var" "Corollaries__". +alias id "F" = "cic:/CoRN/ftc/Differentiability/Corollaries/F.var". -inline "cic:/CoRN/ftc/Differentiability/Corollaries/G.var" "Corollaries__". +alias id "G" = "cic:/CoRN/ftc/Differentiability/Corollaries/G.var". -inline "cic:/CoRN/ftc/Differentiability/Corollaries/diffF.var" "Corollaries__". +alias id "diffF" = "cic:/CoRN/ftc/Differentiability/Corollaries/diffF.var". -inline "cic:/CoRN/ftc/Differentiability/Corollaries/diffG.var" "Corollaries__". +alias id "diffG" = "cic:/CoRN/ftc/Differentiability/Corollaries/diffG.var". inline "cic:/CoRN/ftc/Differentiability/Diffble_I_minus.con". @@ -222,7 +222,7 @@ inline "cic:/CoRN/ftc/Differentiability/Diffble_I_scal.con". inline "cic:/CoRN/ftc/Differentiability/Diffble_I_nth.con". -inline "cic:/CoRN/ftc/Differentiability/Corollaries/Gbnd.var" "Corollaries__". +alias id "Gbnd" = "cic:/CoRN/ftc/Differentiability/Corollaries/Gbnd.var". inline "cic:/CoRN/ftc/Differentiability/Diffble_I_div.con". @@ -239,11 +239,11 @@ Differentiability of families of functions is proved by induction using the constant and addition rules. *) -inline "cic:/CoRN/ftc/Differentiability/Other_Properties/a.var" "Other_Properties__". +alias id "a" = "cic:/CoRN/ftc/Differentiability/Other_Properties/a.var". -inline "cic:/CoRN/ftc/Differentiability/Other_Properties/b.var" "Other_Properties__". +alias id "b" = "cic:/CoRN/ftc/Differentiability/Other_Properties/b.var". -inline "cic:/CoRN/ftc/Differentiability/Other_Properties/Hab'.var" "Other_Properties__". +alias id "Hab'" = "cic:/CoRN/ftc/Differentiability/Other_Properties/Hab'.var". inline "cic:/CoRN/ftc/Differentiability/Diffble_I_Sum0.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/FTC.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/FTC.ma index 6e373299c..481eb2b3b 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/FTC.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/FTC.ma @@ -51,15 +51,15 @@ and [a] be a point in [I]. %\end{convention}% *) -inline "cic:/CoRN/ftc/FTC/Indefinite_Integral/I.var" "Indefinite_Integral__". +alias id "I" = "cic:/CoRN/ftc/FTC/Indefinite_Integral/I.var". -inline "cic:/CoRN/ftc/FTC/Indefinite_Integral/F.var" "Indefinite_Integral__". +alias id "F" = "cic:/CoRN/ftc/FTC/Indefinite_Integral/F.var". -inline "cic:/CoRN/ftc/FTC/Indefinite_Integral/contF.var" "Indefinite_Integral__". +alias id "contF" = "cic:/CoRN/ftc/FTC/Indefinite_Integral/contF.var". -inline "cic:/CoRN/ftc/FTC/Indefinite_Integral/a.var" "Indefinite_Integral__". +alias id "a" = "cic:/CoRN/ftc/FTC/Indefinite_Integral/a.var". -inline "cic:/CoRN/ftc/FTC/Indefinite_Integral/Ha.var" "Indefinite_Integral__". +alias id "Ha" = "cic:/CoRN/ftc/FTC/Indefinite_Integral/Ha.var". inline "cic:/CoRN/ftc/FTC/prim_lemma.con". @@ -94,15 +94,15 @@ indefinite integral of [F] from [x0]. %\end{convention}% *) -inline "cic:/CoRN/ftc/FTC/FTC/J.var" "FTC__". +alias id "J" = "cic:/CoRN/ftc/FTC/FTC/J.var". -inline "cic:/CoRN/ftc/FTC/FTC/F.var" "FTC__". +alias id "F" = "cic:/CoRN/ftc/FTC/FTC/F.var". -inline "cic:/CoRN/ftc/FTC/FTC/contF.var" "FTC__". +alias id "contF" = "cic:/CoRN/ftc/FTC/FTC/contF.var". -inline "cic:/CoRN/ftc/FTC/FTC/x0.var" "FTC__". +alias id "x0" = "cic:/CoRN/ftc/FTC/FTC/x0.var". -inline "cic:/CoRN/ftc/FTC/FTC/Hx0.var" "FTC__". +alias id "Hx0" = "cic:/CoRN/ftc/FTC/FTC/Hx0.var". (* begin hide *) @@ -116,7 +116,7 @@ inline "cic:/CoRN/ftc/FTC/Continuous_prim.con". The derivative of [G] is simply [F]. *) -inline "cic:/CoRN/ftc/FTC/FTC/pJ.var" "FTC__". +alias id "pJ" = "cic:/CoRN/ftc/FTC/FTC/pJ.var". inline "cic:/CoRN/ftc/FTC/FTC1.con". @@ -124,9 +124,9 @@ inline "cic:/CoRN/ftc/FTC/FTC1.con". Any other function [G0] with derivative [F] must differ from [G] by a constant. *) -inline "cic:/CoRN/ftc/FTC/FTC/G0.var" "FTC__". +alias id "G0" = "cic:/CoRN/ftc/FTC/FTC/G0.var". -inline "cic:/CoRN/ftc/FTC/FTC/derG0.var" "FTC__". +alias id "derG0" = "cic:/CoRN/ftc/FTC/FTC/derG0.var". inline "cic:/CoRN/ftc/FTC/FTC2.con". @@ -180,15 +180,15 @@ then the sequence of their primitives also converges, and the limit commutes with the indefinite integral. *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/J.var" "Limit_of_Integral_Seq__". +alias id "J" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/J.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/f.var" "Limit_of_Integral_Seq__". +alias id "f" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/f.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/F.var" "Limit_of_Integral_Seq__". +alias id "F" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/F.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/contf.var" "Limit_of_Integral_Seq__". +alias id "contf" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/contf.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/contF.var" "Limit_of_Integral_Seq__". +alias id "contF" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/contF.var". (* UNEXPORTED Section Compact @@ -204,27 +204,27 @@ continuous in [[a,b]], $x0\in[a,b]$#x0∈[a,b]#; denote by %\end{convention}% *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/a.var" "Limit_of_Integral_Seq__Compact__". +alias id "a" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/a.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/b.var" "Limit_of_Integral_Seq__Compact__". +alias id "b" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/b.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/Hab.var" "Limit_of_Integral_Seq__Compact__". +alias id "Hab" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/Hab.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contIf.var" "Limit_of_Integral_Seq__Compact__". +alias id "contIf" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contIf.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contIF.var" "Limit_of_Integral_Seq__Compact__". +alias id "contIF" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contIF.var". (* begin show *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/convF.var" "Limit_of_Integral_Seq__Compact__". +alias id "convF" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/convF.var". (* end show *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/x0.var" "Limit_of_Integral_Seq__Compact__". +alias id "x0" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/x0.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/Hx0.var" "Limit_of_Integral_Seq__Compact__". +alias id "Hx0" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/Hx0.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/Hx0'.var" "Limit_of_Integral_Seq__Compact__". +alias id "Hx0'" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/Hx0'.var". (* begin hide *) @@ -236,9 +236,9 @@ inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/G.con" "Limit_of_Integra (* begin show *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contg.var" "Limit_of_Integral_Seq__Compact__". +alias id "contg" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contg.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contG.var" "Limit_of_Integral_Seq__Compact__". +alias id "contG" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/Compact/contG.var". (* end show *) @@ -266,13 +266,13 @@ Finally, with [x0, g, G] as before, (* begin show *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/convF.var" "Limit_of_Integral_Seq__General__". +alias id "convF" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/convF.var". (* end show *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/x0.var" "Limit_of_Integral_Seq__General__". +alias id "x0" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/x0.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/Hx0.var" "Limit_of_Integral_Seq__General__". +alias id "Hx0" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/Hx0.var". (* begin hide *) @@ -282,9 +282,9 @@ inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/G.con" "Limit_of_Integra (* end hide *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/contg.var" "Limit_of_Integral_Seq__General__". +alias id "contg" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/contg.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/contG.var" "Limit_of_Integral_Seq__General__". +alias id "contG" = "cic:/CoRN/ftc/FTC/Limit_of_Integral_Seq/General/contG.var". inline "cic:/CoRN/ftc/FTC/fun_lim_seq_integral_IR.con". @@ -307,31 +307,31 @@ Similar results hold for the sequence of derivatives of a converging sequence; t %\end{convention}% *) -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/J.var" "Limit_of_Derivative_Seq__". +alias id "J" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/J.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/pJ.var" "Limit_of_Derivative_Seq__". +alias id "pJ" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/pJ.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/f.var" "Limit_of_Derivative_Seq__". +alias id "f" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/f.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/g.var" "Limit_of_Derivative_Seq__". +alias id "g" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/g.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/F.var" "Limit_of_Derivative_Seq__". +alias id "F" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/F.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/G.var" "Limit_of_Derivative_Seq__". +alias id "G" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/G.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contf.var" "Limit_of_Derivative_Seq__". +alias id "contf" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contf.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contF.var" "Limit_of_Derivative_Seq__". +alias id "contF" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contF.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/convF.var" "Limit_of_Derivative_Seq__". +alias id "convF" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/convF.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contg.var" "Limit_of_Derivative_Seq__". +alias id "contg" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contg.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contG.var" "Limit_of_Derivative_Seq__". +alias id "contG" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/contG.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/convG.var" "Limit_of_Derivative_Seq__". +alias id "convG" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/convG.var". -inline "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/derf.var" "Limit_of_Derivative_Seq__". +alias id "derf" = "cic:/CoRN/ftc/FTC/Limit_of_Derivative_Seq/derf.var". inline "cic:/CoRN/ftc/FTC/fun_lim_seq_derivative.con". @@ -347,23 +347,23 @@ Section Derivative_Series As a very important case of this result, we get a rule for deriving series. *) -inline "cic:/CoRN/ftc/FTC/Derivative_Series/J.var" "Derivative_Series__". +alias id "J" = "cic:/CoRN/ftc/FTC/Derivative_Series/J.var". -inline "cic:/CoRN/ftc/FTC/Derivative_Series/pJ.var" "Derivative_Series__". +alias id "pJ" = "cic:/CoRN/ftc/FTC/Derivative_Series/pJ.var". -inline "cic:/CoRN/ftc/FTC/Derivative_Series/f.var" "Derivative_Series__". +alias id "f" = "cic:/CoRN/ftc/FTC/Derivative_Series/f.var". -inline "cic:/CoRN/ftc/FTC/Derivative_Series/g.var" "Derivative_Series__". +alias id "g" = "cic:/CoRN/ftc/FTC/Derivative_Series/g.var". (* begin show *) -inline "cic:/CoRN/ftc/FTC/Derivative_Series/convF.var" "Derivative_Series__". +alias id "convF" = "cic:/CoRN/ftc/FTC/Derivative_Series/convF.var". -inline "cic:/CoRN/ftc/FTC/Derivative_Series/convG.var" "Derivative_Series__". +alias id "convG" = "cic:/CoRN/ftc/FTC/Derivative_Series/convG.var". (* end show *) -inline "cic:/CoRN/ftc/FTC/Derivative_Series/derF.var" "Derivative_Series__". +alias id "derF" = "cic:/CoRN/ftc/FTC/Derivative_Series/derF.var". inline "cic:/CoRN/ftc/FTC/Derivative_FSeries.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/FunctSequence.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/FunctSequence.ma index 23918bcba..34bd794f4 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/FunctSequence.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/FunctSequence.ma @@ -52,11 +52,11 @@ be defined. For a discussion on the different notions of convergent see Bishop 1967. *) -inline "cic:/CoRN/ftc/FunctSequence/Definitions/a.var" "Definitions__". +alias id "a" = "cic:/CoRN/ftc/FunctSequence/Definitions/a.var". -inline "cic:/CoRN/ftc/FunctSequence/Definitions/b.var" "Definitions__". +alias id "b" = "cic:/CoRN/ftc/FunctSequence/Definitions/b.var". -inline "cic:/CoRN/ftc/FunctSequence/Definitions/Hab.var" "Definitions__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSequence/Definitions/Hab.var". (* begin hide *) @@ -64,13 +64,13 @@ inline "cic:/CoRN/ftc/FunctSequence/Definitions/I.con" "Definitions__". (* end hide *) -inline "cic:/CoRN/ftc/FunctSequence/Definitions/f.var" "Definitions__". +alias id "f" = "cic:/CoRN/ftc/FunctSequence/Definitions/f.var". -inline "cic:/CoRN/ftc/FunctSequence/Definitions/F.var" "Definitions__". +alias id "F" = "cic:/CoRN/ftc/FunctSequence/Definitions/F.var". -inline "cic:/CoRN/ftc/FunctSequence/Definitions/contf.var" "Definitions__". +alias id "contf" = "cic:/CoRN/ftc/FunctSequence/Definitions/contf.var". -inline "cic:/CoRN/ftc/FunctSequence/Definitions/contF.var" "Definitions__". +alias id "contF" = "cic:/CoRN/ftc/FunctSequence/Definitions/contF.var". (* begin hide *) @@ -132,11 +132,11 @@ End Definitions Section More_Definitions *) -inline "cic:/CoRN/ftc/FunctSequence/More_Definitions/a.var" "More_Definitions__". +alias id "a" = "cic:/CoRN/ftc/FunctSequence/More_Definitions/a.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Definitions/b.var" "More_Definitions__". +alias id "b" = "cic:/CoRN/ftc/FunctSequence/More_Definitions/b.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Definitions/Hab.var" "More_Definitions__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSequence/More_Definitions/Hab.var". (* begin hide *) @@ -144,9 +144,9 @@ inline "cic:/CoRN/ftc/FunctSequence/More_Definitions/I.con" "More_Definitions__" (* end hide *) -inline "cic:/CoRN/ftc/FunctSequence/More_Definitions/f.var" "More_Definitions__". +alias id "f" = "cic:/CoRN/ftc/FunctSequence/More_Definitions/f.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Definitions/contf.var" "More_Definitions__". +alias id "contf" = "cic:/CoRN/ftc/FunctSequence/More_Definitions/contf.var". (*#* We can also say that [f] is simply convergent if it converges to some @@ -162,7 +162,7 @@ It is useful to extract the limit as a partial function: (* begin show *) -inline "cic:/CoRN/ftc/FunctSequence/More_Definitions/H.var" "More_Definitions__". +alias id "H" = "cic:/CoRN/ftc/FunctSequence/More_Definitions/H.var". (* end show *) @@ -181,11 +181,11 @@ Section Irrelevance_of_Proofs This section contains a number of technical results stating mainly that being a Cauchy sequence or converging to some limit is a property of the sequence itself and independent of the proofs we supply of its continuity or the continuity of its limit. *) -inline "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/a.var" "Irrelevance_of_Proofs__". +alias id "a" = "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/a.var". -inline "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/b.var" "Irrelevance_of_Proofs__". +alias id "b" = "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/b.var". -inline "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/Hab.var" "Irrelevance_of_Proofs__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/Hab.var". (* begin hide *) @@ -193,23 +193,23 @@ inline "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/I.con" "Irrelevance_of (* end hide *) -inline "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/f.var" "Irrelevance_of_Proofs__". +alias id "f" = "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/f.var". (* begin show *) -inline "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/contf.var" "Irrelevance_of_Proofs__". +alias id "contf" = "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/contf.var". -inline "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/contf0.var" "Irrelevance_of_Proofs__". +alias id "contf0" = "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/contf0.var". (* end show *) -inline "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/F.var" "Irrelevance_of_Proofs__". +alias id "F" = "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/F.var". (* begin show *) -inline "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/contF.var" "Irrelevance_of_Proofs__". +alias id "contF" = "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/contF.var". -inline "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/contF0.var" "Irrelevance_of_Proofs__". +alias id "contF0" = "cic:/CoRN/ftc/FunctSequence/Irrelevance_of_Proofs/contF0.var". (* end show *) @@ -248,11 +248,11 @@ limit; the limit is a continuous function; and convergence is well defined with respect to functional equality in the interval [[a,b]]. *) -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/a.var" "More_Properties__". +alias id "a" = "cic:/CoRN/ftc/FunctSequence/More_Properties/a.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/b.var" "More_Properties__". +alias id "b" = "cic:/CoRN/ftc/FunctSequence/More_Properties/b.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/Hab.var" "More_Properties__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSequence/More_Properties/Hab.var". (* begin hide *) @@ -260,37 +260,37 @@ inline "cic:/CoRN/ftc/FunctSequence/More_Properties/I.con" "More_Properties__". (* end hide *) -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/f.var" "More_Properties__". +alias id "f" = "cic:/CoRN/ftc/FunctSequence/More_Properties/f.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/g.var" "More_Properties__". +alias id "g" = "cic:/CoRN/ftc/FunctSequence/More_Properties/g.var". (* begin show *) -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/contf.var" "More_Properties__". +alias id "contf" = "cic:/CoRN/ftc/FunctSequence/More_Properties/contf.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/contf0.var" "More_Properties__". +alias id "contf0" = "cic:/CoRN/ftc/FunctSequence/More_Properties/contf0.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/contg.var" "More_Properties__". +alias id "contg" = "cic:/CoRN/ftc/FunctSequence/More_Properties/contg.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/contg0.var" "More_Properties__". +alias id "contg0" = "cic:/CoRN/ftc/FunctSequence/More_Properties/contg0.var". (* end show *) inline "cic:/CoRN/ftc/FunctSequence/Cauchy_conv_fun_seq'.con". -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/F.var" "More_Properties__". +alias id "F" = "cic:/CoRN/ftc/FunctSequence/More_Properties/F.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/G.var" "More_Properties__". +alias id "G" = "cic:/CoRN/ftc/FunctSequence/More_Properties/G.var". (* begin show *) -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/contF.var" "More_Properties__". +alias id "contF" = "cic:/CoRN/ftc/FunctSequence/More_Properties/contF.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/contF0.var" "More_Properties__". +alias id "contF0" = "cic:/CoRN/ftc/FunctSequence/More_Properties/contF0.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/contG.var" "More_Properties__". +alias id "contG" = "cic:/CoRN/ftc/FunctSequence/More_Properties/contG.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Properties/contG0.var" "More_Properties__". +alias id "contG0" = "cic:/CoRN/ftc/FunctSequence/More_Properties/contG0.var". (* end show *) @@ -339,11 +339,11 @@ Section Algebraic_Properties We now study how convergence is affected by algebraic operations, and some algebraic properties of the limit function. *) -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/a.var" "Algebraic_Properties__". +alias id "a" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/a.var". -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/b.var" "Algebraic_Properties__". +alias id "b" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/b.var". -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/Hab.var" "Algebraic_Properties__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/Hab.var". (* begin hide *) @@ -351,13 +351,13 @@ inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/I.con" "Algebraic_Prope (* end hide *) -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/f.var" "Algebraic_Properties__". +alias id "f" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/f.var". -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/g.var" "Algebraic_Properties__". +alias id "g" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/g.var". -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/contf.var" "Algebraic_Properties__". +alias id "contf" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/contf.var". -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/contg.var" "Algebraic_Properties__". +alias id "contg" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/contg.var". (*#* First, the limit function is unique. @@ -376,19 +376,19 @@ inline "cic:/CoRN/ftc/FunctSequence/fun_Cauchy_prop_const.con". We now prove that if two sequences converge than their sum (difference, product) also converge to the sum (difference, product) of their limits. *) -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/F.var" "Algebraic_Properties__". +alias id "F" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/F.var". -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/G.var" "Algebraic_Properties__". +alias id "G" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/G.var". -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/contF.var" "Algebraic_Properties__". +alias id "contF" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/contF.var". -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/contG.var" "Algebraic_Properties__". +alias id "contG" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/contG.var". (* begin show *) -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/convF.var" "Algebraic_Properties__". +alias id "convF" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/convF.var". -inline "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/convG.var" "Algebraic_Properties__". +alias id "convG" = "cic:/CoRN/ftc/FunctSequence/Algebraic_Properties/convG.var". (* end show *) @@ -418,11 +418,11 @@ End Algebraic_Properties Section More_Algebraic_Properties *) -inline "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/a.var" "More_Algebraic_Properties__". +alias id "a" = "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/a.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/b.var" "More_Algebraic_Properties__". +alias id "b" = "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/b.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/Hab.var" "More_Algebraic_Properties__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/Hab.var". (* begin hide *) @@ -430,13 +430,13 @@ inline "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/I.con" "More_Algeb (* end hide *) -inline "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/f.var" "More_Algebraic_Properties__". +alias id "f" = "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/f.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/g.var" "More_Algebraic_Properties__". +alias id "g" = "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/g.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/contf.var" "More_Algebraic_Properties__". +alias id "contf" = "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/contf.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/contg.var" "More_Algebraic_Properties__". +alias id "contg" = "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/contg.var". (*#* The same is true if we don't make the limits explicit. @@ -444,9 +444,9 @@ The same is true if we don't make the limits explicit. (* begin hide *) -inline "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/Hf.var" "More_Algebraic_Properties__". +alias id "Hf" = "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/Hf.var". -inline "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/Hg.var" "More_Algebraic_Properties__". +alias id "Hg" = "cic:/CoRN/ftc/FunctSequence/More_Algebraic_Properties/Hg.var". (* end hide *) @@ -470,11 +470,11 @@ End More_Algebraic_Properties Section Still_More_Algebraic_Properties *) -inline "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/a.var" "Still_More_Algebraic_Properties__". +alias id "a" = "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/a.var". -inline "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/b.var" "Still_More_Algebraic_Properties__". +alias id "b" = "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/b.var". -inline "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/Hab.var" "Still_More_Algebraic_Properties__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/Hab.var". (* begin hide *) @@ -482,11 +482,11 @@ inline "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/I.con" "Stil (* end hide *) -inline "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/f.var" "Still_More_Algebraic_Properties__". +alias id "f" = "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/f.var". -inline "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/contf.var" "Still_More_Algebraic_Properties__". +alias id "contf" = "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/contf.var". -inline "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/Hf.var" "Still_More_Algebraic_Properties__". +alias id "Hf" = "cic:/CoRN/ftc/FunctSequence/Still_More_Algebraic_Properties/Hf.var". (*#* As a corollary, we get the analogous property for the sequence of algebraic inverse functions. diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/FunctSeries.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/FunctSeries.ma index 2ce9fa143..917cbe2bc 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/FunctSeries.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/FunctSeries.ma @@ -53,11 +53,11 @@ defined in a compact interval. For this, partial sums are defined and convergence is simply the convergence of the sequence of partial sums. *) -inline "cic:/CoRN/ftc/FunctSeries/Definitions/a.var" "Definitions__". +alias id "a" = "cic:/CoRN/ftc/FunctSeries/Definitions/a.var". -inline "cic:/CoRN/ftc/FunctSeries/Definitions/b.var" "Definitions__". +alias id "b" = "cic:/CoRN/ftc/FunctSeries/Definitions/b.var". -inline "cic:/CoRN/ftc/FunctSeries/Definitions/Hab.var" "Definitions__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSeries/Definitions/Hab.var". (* begin hide *) @@ -65,7 +65,7 @@ inline "cic:/CoRN/ftc/FunctSeries/Definitions/I.con" "Definitions__". (* end hide *) -inline "cic:/CoRN/ftc/FunctSeries/Definitions/f.var" "Definitions__". +alias id "f" = "cic:/CoRN/ftc/FunctSeries/Definitions/f.var". inline "cic:/CoRN/ftc/FunctSeries/fun_seq_part_sum.con". @@ -87,7 +87,7 @@ the corresponding series. (* begin show *) -inline "cic:/CoRN/ftc/FunctSeries/Definitions/H.var" "Definitions__". +alias id "H" = "cic:/CoRN/ftc/FunctSeries/Definitions/H.var". (* end show *) @@ -119,13 +119,13 @@ Hint Resolve fun_seq_part_sum_cont: continuous. Section More_Definitions *) -inline "cic:/CoRN/ftc/FunctSeries/More_Definitions/a.var" "More_Definitions__". +alias id "a" = "cic:/CoRN/ftc/FunctSeries/More_Definitions/a.var". -inline "cic:/CoRN/ftc/FunctSeries/More_Definitions/b.var" "More_Definitions__". +alias id "b" = "cic:/CoRN/ftc/FunctSeries/More_Definitions/b.var". -inline "cic:/CoRN/ftc/FunctSeries/More_Definitions/Hab.var" "More_Definitions__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSeries/More_Definitions/Hab.var". -inline "cic:/CoRN/ftc/FunctSeries/More_Definitions/f.var" "More_Definitions__". +alias id "f" = "cic:/CoRN/ftc/FunctSeries/More_Definitions/f.var". (*#* A series can also be absolutely convergent. *) @@ -144,11 +144,11 @@ Section Operations All of these are analogous to the properties for series of real numbers, so we won't comment much about them. *) -inline "cic:/CoRN/ftc/FunctSeries/Operations/a.var" "Operations__". +alias id "a" = "cic:/CoRN/ftc/FunctSeries/Operations/a.var". -inline "cic:/CoRN/ftc/FunctSeries/Operations/b.var" "Operations__". +alias id "b" = "cic:/CoRN/ftc/FunctSeries/Operations/b.var". -inline "cic:/CoRN/ftc/FunctSeries/Operations/Hab.var" "Operations__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSeries/Operations/Hab.var". (* begin hide *) @@ -168,9 +168,9 @@ inline "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_zero.con". (* begin show *) -inline "cic:/CoRN/ftc/FunctSeries/Operations/f.var" "Operations__". +alias id "f" = "cic:/CoRN/ftc/FunctSeries/Operations/f.var". -inline "cic:/CoRN/ftc/FunctSeries/Operations/g.var" "Operations__". +alias id "g" = "cic:/CoRN/ftc/FunctSeries/Operations/g.var". (* end show *) @@ -178,9 +178,9 @@ inline "cic:/CoRN/ftc/FunctSeries/fun_series_convergent_wd.con". (* begin show *) -inline "cic:/CoRN/ftc/FunctSeries/Operations/convF.var" "Operations__". +alias id "convF" = "cic:/CoRN/ftc/FunctSeries/Operations/convF.var". -inline "cic:/CoRN/ftc/FunctSeries/Operations/convG.var" "Operations__". +alias id "convG" = "cic:/CoRN/ftc/FunctSeries/Operations/convG.var". (* end show *) @@ -199,11 +199,11 @@ inline "cic:/CoRN/ftc/FunctSeries/Fun_Series_Sum_min.con". %\end{convention}% *) -inline "cic:/CoRN/ftc/FunctSeries/Operations/c.var" "Operations__". +alias id "c" = "cic:/CoRN/ftc/FunctSeries/Operations/c.var". -inline "cic:/CoRN/ftc/FunctSeries/Operations/H.var" "Operations__". +alias id "H" = "cic:/CoRN/ftc/FunctSeries/Operations/H.var". -inline "cic:/CoRN/ftc/FunctSeries/Operations/contH.var" "Operations__". +alias id "contH" = "cic:/CoRN/ftc/FunctSeries/Operations/contH.var". inline "cic:/CoRN/ftc/FunctSeries/conv_fun_series_scal.con". @@ -217,11 +217,11 @@ End Operations Section More_Operations *) -inline "cic:/CoRN/ftc/FunctSeries/More_Operations/a.var" "More_Operations__". +alias id "a" = "cic:/CoRN/ftc/FunctSeries/More_Operations/a.var". -inline "cic:/CoRN/ftc/FunctSeries/More_Operations/b.var" "More_Operations__". +alias id "b" = "cic:/CoRN/ftc/FunctSeries/More_Operations/b.var". -inline "cic:/CoRN/ftc/FunctSeries/More_Operations/Hab.var" "More_Operations__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSeries/More_Operations/Hab.var". (* begin hide *) @@ -229,9 +229,9 @@ inline "cic:/CoRN/ftc/FunctSeries/More_Operations/I.con" "More_Operations__". (* end hide *) -inline "cic:/CoRN/ftc/FunctSeries/More_Operations/f.var" "More_Operations__". +alias id "f" = "cic:/CoRN/ftc/FunctSeries/More_Operations/f.var". -inline "cic:/CoRN/ftc/FunctSeries/More_Operations/convF.var" "More_Operations__". +alias id "convF" = "cic:/CoRN/ftc/FunctSeries/More_Operations/convF.var". inline "cic:/CoRN/ftc/FunctSeries/conv_fun_series_inv.con". @@ -245,15 +245,15 @@ End More_Operations Section Other_Results *) -inline "cic:/CoRN/ftc/FunctSeries/Other_Results/a.var" "Other_Results__". +alias id "a" = "cic:/CoRN/ftc/FunctSeries/Other_Results/a.var". -inline "cic:/CoRN/ftc/FunctSeries/Other_Results/b.var" "Other_Results__". +alias id "b" = "cic:/CoRN/ftc/FunctSeries/Other_Results/b.var". -inline "cic:/CoRN/ftc/FunctSeries/Other_Results/Hab.var" "Other_Results__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSeries/Other_Results/Hab.var". -inline "cic:/CoRN/ftc/FunctSeries/Other_Results/f.var" "Other_Results__". +alias id "f" = "cic:/CoRN/ftc/FunctSeries/Other_Results/f.var". -inline "cic:/CoRN/ftc/FunctSeries/Other_Results/convF.var" "Other_Results__". +alias id "convF" = "cic:/CoRN/ftc/FunctSeries/Other_Results/convF.var". (*#* The following relate the sum series with the limit of the sequence of @@ -288,11 +288,11 @@ Section Convergence_Criteria Most of the convergence criteria for series of real numbers carry over to series of real-valued functions, so again we just present them without comments. *) -inline "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/a.var" "Convergence_Criteria__". +alias id "a" = "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/a.var". -inline "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/b.var" "Convergence_Criteria__". +alias id "b" = "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/b.var". -inline "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/Hab.var" "Convergence_Criteria__". +alias id "Hab" = "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/Hab.var". (* begin hide *) @@ -300,9 +300,9 @@ inline "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/I.con" "Convergence_Crite (* end hide *) -inline "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/f.var" "Convergence_Criteria__". +alias id "f" = "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/f.var". -inline "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/contF.var" "Convergence_Criteria__". +alias id "contF" = "cic:/CoRN/ftc/FunctSeries/Convergence_Criteria/contF.var". (* UNEXPORTED Opaque Frestr. diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/Integral.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/Integral.ma index f1b87ac1e..4a8a41688 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/Integral.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/Integral.ma @@ -59,19 +59,19 @@ continuous functions in [I]. %\end{convention}% *) -inline "cic:/CoRN/ftc/Integral/Integral/a.var" "Integral__". +alias id "a" = "cic:/CoRN/ftc/Integral/Integral/a.var". -inline "cic:/CoRN/ftc/Integral/Integral/b.var" "Integral__". +alias id "b" = "cic:/CoRN/ftc/Integral/Integral/b.var". -inline "cic:/CoRN/ftc/Integral/Integral/Hab.var" "Integral__". +alias id "Hab" = "cic:/CoRN/ftc/Integral/Integral/Hab.var". (* begin hide *) inline "cic:/CoRN/ftc/Integral/Integral/I.con" "Integral__". -inline "cic:/CoRN/ftc/Integral/Integral/F.var" "Integral__". +alias id "F" = "cic:/CoRN/ftc/Integral/Integral/F.var". -inline "cic:/CoRN/ftc/Integral/Integral/contF.var" "Integral__". +alias id "contF" = "cic:/CoRN/ftc/Integral/Integral/contF.var". inline "cic:/CoRN/ftc/Integral/Integral/contF'.con" "Integral__". @@ -106,13 +106,13 @@ respecting [P]. %\end{convention}% *) -inline "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/n.var" "Integral__Integral_Thm__". +alias id "n" = "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/n.var". -inline "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/P.var" "Integral__Integral_Thm__". +alias id "P" = "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/P.var". -inline "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/e.var" "Integral__Integral_Thm__". +alias id "e" = "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/e.var". -inline "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/He.var" "Integral__Integral_Thm__". +alias id "He" = "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/He.var". (* begin hide *) @@ -120,15 +120,15 @@ inline "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/d.con" "Integral__Integral_ (* end hide *) -inline "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/HmeshP.var" "Integral__Integral_Thm__". +alias id "HmeshP" = "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/HmeshP.var". -inline "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/fP.var" "Integral__Integral_Thm__". +alias id "fP" = "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/fP.var". -inline "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/HfP.var" "Integral__Integral_Thm__". +alias id "HfP" = "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/HfP.var". -inline "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/HfP'.var" "Integral__Integral_Thm__". +alias id "HfP'" = "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/HfP'.var". -inline "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/incF.var" "Integral__Integral_Thm__". +alias id "incF" = "cic:/CoRN/ftc/Integral/Integral/Integral_Thm/incF.var". inline "cic:/CoRN/ftc/Integral/partition_Sum_conv_integral.con". @@ -148,11 +148,11 @@ Section Basic_Properties The usual extensionality and strong extensionality results hold. *) -inline "cic:/CoRN/ftc/Integral/Basic_Properties/a.var" "Basic_Properties__". +alias id "a" = "cic:/CoRN/ftc/Integral/Basic_Properties/a.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/b.var" "Basic_Properties__". +alias id "b" = "cic:/CoRN/ftc/Integral/Basic_Properties/b.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Hab.var" "Basic_Properties__". +alias id "Hab" = "cic:/CoRN/ftc/Integral/Basic_Properties/Hab.var". (* begin hide *) @@ -168,13 +168,13 @@ Notation Integral := (integral _ _ Hab). Section Well_Definedness *) -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Well_Definedness/F.var" "Basic_Properties__Well_Definedness__". +alias id "F" = "cic:/CoRN/ftc/Integral/Basic_Properties/Well_Definedness/F.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Well_Definedness/G.var" "Basic_Properties__Well_Definedness__". +alias id "G" = "cic:/CoRN/ftc/Integral/Basic_Properties/Well_Definedness/G.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Well_Definedness/contF.var" "Basic_Properties__Well_Definedness__". +alias id "contF" = "cic:/CoRN/ftc/Integral/Basic_Properties/Well_Definedness/contF.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Well_Definedness/contG.var" "Basic_Properties__Well_Definedness__". +alias id "contG" = "cic:/CoRN/ftc/Integral/Basic_Properties/Well_Definedness/contG.var". inline "cic:/CoRN/ftc/Integral/integral_strext.con". @@ -202,13 +202,13 @@ The integral is a linear and monotonous function; in order to prove these facts inline "cic:/CoRN/ftc/Integral/integral_one.con". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity/F.var" "Basic_Properties__Linearity_and_Monotonicity__". +alias id "F" = "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity/F.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity/G.var" "Basic_Properties__Linearity_and_Monotonicity__". +alias id "G" = "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity/G.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity/contF.var" "Basic_Properties__Linearity_and_Monotonicity__". +alias id "contF" = "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity/contF.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity/contG.var" "Basic_Properties__Linearity_and_Monotonicity__". +alias id "contG" = "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity/contG.var". inline "cic:/CoRN/ftc/Integral/integral_comm_scal.con". @@ -228,13 +228,13 @@ End Linearity_and_Monotonicity Section Linearity_and_Monotonicity' *) -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/F.var" "Basic_Properties__Linearity_and_Monotonicity'__". +alias id "F" = "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/F.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/G.var" "Basic_Properties__Linearity_and_Monotonicity'__". +alias id "G" = "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/G.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/contF.var" "Basic_Properties__Linearity_and_Monotonicity'__". +alias id "contF" = "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/contF.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/contG.var" "Basic_Properties__Linearity_and_Monotonicity'__". +alias id "contG" = "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/contG.var". (*#* %\begin{convention}% Let [alpha, beta : IR] and assume that @@ -242,9 +242,9 @@ inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/cont %\end{convention}% *) -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/alpha.var" "Basic_Properties__Linearity_and_Monotonicity'__". +alias id "alpha" = "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/alpha.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/beta.var" "Basic_Properties__Linearity_and_Monotonicity'__". +alias id "beta" = "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/beta.var". (* begin hide *) @@ -252,7 +252,7 @@ inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/h.co (* end hide *) -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/contH.var" "Basic_Properties__Linearity_and_Monotonicity'__". +alias id "contH" = "cic:/CoRN/ftc/Integral/Basic_Properties/Linearity_and_Monotonicity'/contH.var". inline "cic:/CoRN/ftc/Integral/linear_integral.con". @@ -274,13 +274,13 @@ End Linearity_and_Monotonicity' Section Corollaries *) -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Corollaries/F.var" "Basic_Properties__Corollaries__". +alias id "F" = "cic:/CoRN/ftc/Integral/Basic_Properties/Corollaries/F.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Corollaries/G.var" "Basic_Properties__Corollaries__". +alias id "G" = "cic:/CoRN/ftc/Integral/Basic_Properties/Corollaries/G.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Corollaries/contF.var" "Basic_Properties__Corollaries__". +alias id "contF" = "cic:/CoRN/ftc/Integral/Basic_Properties/Corollaries/contF.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Corollaries/contG.var" "Basic_Properties__Corollaries__". +alias id "contG" = "cic:/CoRN/ftc/Integral/Basic_Properties/Corollaries/contG.var". (*#* As corollaries we can calculate integrals of group operations applied to functions. @@ -319,19 +319,19 @@ $c\in[a,b]$#c∈[a,b]#. %\end{convention}% *) -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/F.var" "Basic_Properties__Integral_Sum__". +alias id "F" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/F.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/c.var" "Basic_Properties__Integral_Sum__". +alias id "c" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/c.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Hac.var" "Basic_Properties__Integral_Sum__". +alias id "Hac" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Hac.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Hcb.var" "Basic_Properties__Integral_Sum__". +alias id "Hcb" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Hcb.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Hab'.var" "Basic_Properties__Integral_Sum__". +alias id "Hab'" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Hab'.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Hac'.var" "Basic_Properties__Integral_Sum__". +alias id "Hac'" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Hac'.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Hcb'.var" "Basic_Properties__Integral_Sum__". +alias id "Hcb'" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Hcb'.var". (* UNEXPORTED Section Partition_Join @@ -349,13 +349,13 @@ inequality). %\end{convention}% *) -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/n.var" "Basic_Properties__Integral_Sum__Partition_Join__". +alias id "n" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/n.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/m.var" "Basic_Properties__Integral_Sum__Partition_Join__". +alias id "m" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/m.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/P.var" "Basic_Properties__Integral_Sum__Partition_Join__". +alias id "P" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/P.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/Q.var" "Basic_Properties__Integral_Sum__Partition_Join__". +alias id "Q" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/Q.var". (* begin hide *) @@ -392,17 +392,17 @@ inline "cic:/CoRN/ftc/Integral/partition_join.con". %\end{convention}% *) -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/fP.var" "Basic_Properties__Integral_Sum__Partition_Join__". +alias id "fP" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/fP.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/HfP.var" "Basic_Properties__Integral_Sum__Partition_Join__". +alias id "HfP" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/HfP.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/HfP'.var" "Basic_Properties__Integral_Sum__Partition_Join__". +alias id "HfP'" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/HfP'.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/fQ.var" "Basic_Properties__Integral_Sum__Partition_Join__". +alias id "fQ" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/fQ.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/HfQ.var" "Basic_Properties__Integral_Sum__Partition_Join__". +alias id "HfQ" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/HfQ.var". -inline "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/HfQ'.var" "Basic_Properties__Integral_Sum__Partition_Join__". +alias id "HfQ'" = "cic:/CoRN/ftc/Integral/Basic_Properties/Integral_Sum/Partition_Join/HfQ'.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/IntervalFunct.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/IntervalFunct.ma index 3587525bc..b08ef762b 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/IntervalFunct.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/IntervalFunct.ma @@ -47,11 +47,11 @@ type [I -> IR]. %\end{convention}% *) -inline "cic:/CoRN/ftc/IntervalFunct/Operations/a.var" "Operations__". +alias id "a" = "cic:/CoRN/ftc/IntervalFunct/Operations/a.var". -inline "cic:/CoRN/ftc/IntervalFunct/Operations/b.var" "Operations__". +alias id "b" = "cic:/CoRN/ftc/IntervalFunct/Operations/b.var". -inline "cic:/CoRN/ftc/IntervalFunct/Operations/Hab.var" "Operations__". +alias id "Hab" = "cic:/CoRN/ftc/IntervalFunct/Operations/Hab.var". (* begin hide *) @@ -59,9 +59,9 @@ inline "cic:/CoRN/ftc/IntervalFunct/Operations/I.con" "Operations__". (* end hide *) -inline "cic:/CoRN/ftc/IntervalFunct/Operations/f.var" "Operations__". +alias id "f" = "cic:/CoRN/ftc/IntervalFunct/Operations/f.var". -inline "cic:/CoRN/ftc/IntervalFunct/Operations/g.var" "Operations__". +alias id "g" = "cic:/CoRN/ftc/IntervalFunct/Operations/g.var". (* UNEXPORTED Section Const @@ -74,7 +74,7 @@ Constant and identity functions are defined. %\end{convention}% *) -inline "cic:/CoRN/ftc/IntervalFunct/Operations/Const/c.var" "Operations__Const__". +alias id "c" = "cic:/CoRN/ftc/IntervalFunct/Operations/Const/c.var". inline "cic:/CoRN/ftc/IntervalFunct/IConst_strext.con". @@ -116,7 +116,7 @@ Section Nth_Power Exponentiation to a natural power [n] is also useful. *) -inline "cic:/CoRN/ftc/IntervalFunct/Operations/Nth_Power/n.var" "Operations__Nth_Power__". +alias id "n" = "cic:/CoRN/ftc/IntervalFunct/Operations/Nth_Power/n.var". inline "cic:/CoRN/ftc/IntervalFunct/INth_strext.con". @@ -136,7 +136,7 @@ Section Recip_Div (* begin show *) -inline "cic:/CoRN/ftc/IntervalFunct/Operations/Recip_Div/Hg.var" "Operations__Recip_Div__". +alias id "Hg" = "cic:/CoRN/ftc/IntervalFunct/Operations/Recip_Div/Hg.var". (* end show *) @@ -186,11 +186,11 @@ compact interval [[a',b']], and let [g] be a setoid function of type Section Composition *) -inline "cic:/CoRN/ftc/IntervalFunct/Composition/a.var" "Composition__". +alias id "a" = "cic:/CoRN/ftc/IntervalFunct/Composition/a.var". -inline "cic:/CoRN/ftc/IntervalFunct/Composition/b.var" "Composition__". +alias id "b" = "cic:/CoRN/ftc/IntervalFunct/Composition/b.var". -inline "cic:/CoRN/ftc/IntervalFunct/Composition/Hab.var" "Composition__". +alias id "Hab" = "cic:/CoRN/ftc/IntervalFunct/Composition/Hab.var". (* begin hide *) @@ -198,11 +198,11 @@ inline "cic:/CoRN/ftc/IntervalFunct/Composition/I.con" "Composition__". (* end hide *) -inline "cic:/CoRN/ftc/IntervalFunct/Composition/a'.var" "Composition__". +alias id "a'" = "cic:/CoRN/ftc/IntervalFunct/Composition/a'.var". -inline "cic:/CoRN/ftc/IntervalFunct/Composition/b'.var" "Composition__". +alias id "b'" = "cic:/CoRN/ftc/IntervalFunct/Composition/b'.var". -inline "cic:/CoRN/ftc/IntervalFunct/Composition/Hab'.var" "Composition__". +alias id "Hab'" = "cic:/CoRN/ftc/IntervalFunct/Composition/Hab'.var". (* begin hide *) @@ -210,11 +210,11 @@ inline "cic:/CoRN/ftc/IntervalFunct/Composition/I'.con" "Composition__". (* end hide *) -inline "cic:/CoRN/ftc/IntervalFunct/Composition/f.var" "Composition__". +alias id "f" = "cic:/CoRN/ftc/IntervalFunct/Composition/f.var". -inline "cic:/CoRN/ftc/IntervalFunct/Composition/g.var" "Composition__". +alias id "g" = "cic:/CoRN/ftc/IntervalFunct/Composition/g.var". -inline "cic:/CoRN/ftc/IntervalFunct/Composition/Hfg.var" "Composition__". +alias id "Hfg" = "cic:/CoRN/ftc/IntervalFunct/Composition/Hfg.var". inline "cic:/CoRN/ftc/IntervalFunct/IComp_strext.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/MoreFunSeries.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/MoreFunSeries.ma index 8ca95c449..18f5f6ebb 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/MoreFunSeries.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/MoreFunSeries.ma @@ -52,15 +52,15 @@ Some of the definitions do not make sense in this more general setting but the ones which do we simply adapt in the usual way. *) -inline "cic:/CoRN/ftc/MoreFunSeries/Definitions/J.var" "Definitions__". +alias id "J" = "cic:/CoRN/ftc/MoreFunSeries/Definitions/J.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Definitions/f.var" "Definitions__". +alias id "f" = "cic:/CoRN/ftc/MoreFunSeries/Definitions/f.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Definitions/F.var" "Definitions__". +alias id "F" = "cic:/CoRN/ftc/MoreFunSeries/Definitions/F.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Definitions/contf.var" "Definitions__". +alias id "contf" = "cic:/CoRN/ftc/MoreFunSeries/Definitions/contf.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Definitions/contF.var" "Definitions__". +alias id "contF" = "cic:/CoRN/ftc/MoreFunSeries/Definitions/contF.var". inline "cic:/CoRN/ftc/MoreFunSeries/Cauchy_fun_seq_IR.con". @@ -94,15 +94,15 @@ Section More_Definitions Limit is defined and works in the same way as before. *) -inline "cic:/CoRN/ftc/MoreFunSeries/More_Definitions/J.var" "More_Definitions__". +alias id "J" = "cic:/CoRN/ftc/MoreFunSeries/More_Definitions/J.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Definitions/f.var" "More_Definitions__". +alias id "f" = "cic:/CoRN/ftc/MoreFunSeries/More_Definitions/f.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Definitions/contf.var" "More_Definitions__". +alias id "contf" = "cic:/CoRN/ftc/MoreFunSeries/More_Definitions/contf.var". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunSeries/More_Definitions/conv.var" "More_Definitions__". +alias id "conv" = "cic:/CoRN/ftc/MoreFunSeries/More_Definitions/conv.var". (* end show *) @@ -123,25 +123,25 @@ Section Irrelevance_of_Proofs Proofs are irrelevant as before---they just have to be present. *) -inline "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/J.var" "Irrelevance_of_Proofs__". +alias id "J" = "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/J.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/f.var" "Irrelevance_of_Proofs__". +alias id "f" = "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/f.var". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/contf.var" "Irrelevance_of_Proofs__". +alias id "contf" = "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/contf.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/contf0.var" "Irrelevance_of_Proofs__". +alias id "contf0" = "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/contf0.var". (* end show *) -inline "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/F.var" "Irrelevance_of_Proofs__". +alias id "F" = "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/F.var". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/contF.var" "Irrelevance_of_Proofs__". +alias id "contF" = "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/contF.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/contF0.var" "Irrelevance_of_Proofs__". +alias id "contF0" = "cic:/CoRN/ftc/MoreFunSeries/Irrelevance_of_Proofs/contF0.var". (* end show *) @@ -163,39 +163,39 @@ Opaque Cauchy_fun_seq_Lim_IR. Section More_Properties *) -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/J.var" "More_Properties__". +alias id "J" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/J.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/f.var" "More_Properties__". +alias id "f" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/f.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/g.var" "More_Properties__". +alias id "g" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/g.var". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contf.var" "More_Properties__". +alias id "contf" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contf.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contf0.var" "More_Properties__". +alias id "contf0" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contf0.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contg.var" "More_Properties__". +alias id "contg" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contg.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contg0.var" "More_Properties__". +alias id "contg0" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contg0.var". (* end show *) inline "cic:/CoRN/ftc/MoreFunSeries/Cauchy_conv_fun_seq'_IR.con". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/F.var" "More_Properties__". +alias id "F" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/F.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/G.var" "More_Properties__". +alias id "G" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/G.var". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contF.var" "More_Properties__". +alias id "contF" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contF.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contF0.var" "More_Properties__". +alias id "contF0" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contF0.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contG.var" "More_Properties__". +alias id "contG" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contG.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contG0.var" "More_Properties__". +alias id "contG0" = "cic:/CoRN/ftc/MoreFunSeries/More_Properties/contG0.var". (* end show *) @@ -230,15 +230,15 @@ Section Algebraic_Properties Algebraic operations still work well. *) -inline "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/J.var" "Algebraic_Properties__". +alias id "J" = "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/J.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/f.var" "Algebraic_Properties__". +alias id "f" = "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/f.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/g.var" "Algebraic_Properties__". +alias id "g" = "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/g.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/contf.var" "Algebraic_Properties__". +alias id "contf" = "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/contf.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/contg.var" "Algebraic_Properties__". +alias id "contg" = "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/contg.var". inline "cic:/CoRN/ftc/MoreFunSeries/FLim_unique_IR.con". @@ -248,19 +248,19 @@ inline "cic:/CoRN/ftc/MoreFunSeries/fun_Lim_seq_const_IR.con". inline "cic:/CoRN/ftc/MoreFunSeries/fun_Cauchy_prop_const_IR.con". -inline "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/F.var" "Algebraic_Properties__". +alias id "F" = "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/F.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/G.var" "Algebraic_Properties__". +alias id "G" = "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/G.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/contF.var" "Algebraic_Properties__". +alias id "contF" = "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/contF.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/contG.var" "Algebraic_Properties__". +alias id "contG" = "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/contG.var". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/convF.var" "Algebraic_Properties__". +alias id "convF" = "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/convF.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/convG.var" "Algebraic_Properties__". +alias id "convG" = "cic:/CoRN/ftc/MoreFunSeries/Algebraic_Properties/convG.var". (* end show *) @@ -282,21 +282,21 @@ Section More_Algebraic_Properties If we work with the limit function things fit in just as well. *) -inline "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/J.var" "More_Algebraic_Properties__". +alias id "J" = "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/J.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/f.var" "More_Algebraic_Properties__". +alias id "f" = "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/f.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/g.var" "More_Algebraic_Properties__". +alias id "g" = "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/g.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/contf.var" "More_Algebraic_Properties__". +alias id "contf" = "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/contf.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/contg.var" "More_Algebraic_Properties__". +alias id "contg" = "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/contg.var". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/Hf.var" "More_Algebraic_Properties__". +alias id "Hf" = "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/Hf.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/Hg.var" "More_Algebraic_Properties__". +alias id "Hg" = "cic:/CoRN/ftc/MoreFunSeries/More_Algebraic_Properties/Hg.var". (* end show *) @@ -354,9 +354,9 @@ We now consider series of functions defined in arbitrary intervals. Convergence is defined as expected---through convergence in every compact interval. *) -inline "cic:/CoRN/ftc/MoreFunSeries/Series_Definitions/J.var" "Series_Definitions__". +alias id "J" = "cic:/CoRN/ftc/MoreFunSeries/Series_Definitions/J.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Series_Definitions/f.var" "Series_Definitions__". +alias id "f" = "cic:/CoRN/ftc/MoreFunSeries/Series_Definitions/f.var". inline "cic:/CoRN/ftc/MoreFunSeries/fun_series_convergent_IR.con". @@ -364,7 +364,7 @@ inline "cic:/CoRN/ftc/MoreFunSeries/fun_series_conv_imp_conv_IR.con". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunSeries/Series_Definitions/H.var" "Series_Definitions__". +alias id "H" = "cic:/CoRN/ftc/MoreFunSeries/Series_Definitions/H.var". (* end show *) @@ -396,9 +396,9 @@ Implicit Arguments FSeries_Sum [J f]. Section More_Series_Definitions *) -inline "cic:/CoRN/ftc/MoreFunSeries/More_Series_Definitions/J.var" "More_Series_Definitions__". +alias id "J" = "cic:/CoRN/ftc/MoreFunSeries/More_Series_Definitions/J.var". -inline "cic:/CoRN/ftc/MoreFunSeries/More_Series_Definitions/f.var" "More_Series_Definitions__". +alias id "f" = "cic:/CoRN/ftc/MoreFunSeries/More_Series_Definitions/f.var". (*#* Absolute convergence still exists. @@ -418,9 +418,9 @@ Section Convergence_Results As before, any series converges to its sum. *) -inline "cic:/CoRN/ftc/MoreFunSeries/Convergence_Results/J.var" "Convergence_Results__". +alias id "J" = "cic:/CoRN/ftc/MoreFunSeries/Convergence_Results/J.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Convergence_Results/f.var" "Convergence_Results__". +alias id "f" = "cic:/CoRN/ftc/MoreFunSeries/Convergence_Results/f.var". inline "cic:/CoRN/ftc/MoreFunSeries/FSeries_conv.con". @@ -451,7 +451,7 @@ Section Operations Convergence is well defined and preserved by operations. *) -inline "cic:/CoRN/ftc/MoreFunSeries/Operations/J.var" "Operations__". +alias id "J" = "cic:/CoRN/ftc/MoreFunSeries/Operations/J.var". inline "cic:/CoRN/ftc/MoreFunSeries/conv_fun_const_series_IR.con". @@ -461,17 +461,17 @@ inline "cic:/CoRN/ftc/MoreFunSeries/conv_zero_fun_series_IR.con". inline "cic:/CoRN/ftc/MoreFunSeries/FSeries_Sum_zero_IR.con". -inline "cic:/CoRN/ftc/MoreFunSeries/Operations/f.var" "Operations__". +alias id "f" = "cic:/CoRN/ftc/MoreFunSeries/Operations/f.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Operations/g.var" "Operations__". +alias id "g" = "cic:/CoRN/ftc/MoreFunSeries/Operations/g.var". inline "cic:/CoRN/ftc/MoreFunSeries/fun_series_convergent_wd_IR.con". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunSeries/Operations/convF.var" "Operations__". +alias id "convF" = "cic:/CoRN/ftc/MoreFunSeries/Operations/convF.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Operations/convG.var" "Operations__". +alias id "convG" = "cic:/CoRN/ftc/MoreFunSeries/Operations/convG.var". (* end show *) @@ -494,11 +494,11 @@ inline "cic:/CoRN/ftc/MoreFunSeries/FSeries_Sum_minus.con". %\end{convention}% *) -inline "cic:/CoRN/ftc/MoreFunSeries/Operations/c.var" "Operations__". +alias id "c" = "cic:/CoRN/ftc/MoreFunSeries/Operations/c.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Operations/H.var" "Operations__". +alias id "H" = "cic:/CoRN/ftc/MoreFunSeries/Operations/H.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Operations/contH.var" "Operations__". +alias id "contH" = "cic:/CoRN/ftc/MoreFunSeries/Operations/contH.var". inline "cic:/CoRN/ftc/MoreFunSeries/FSeries_Sum_scal_conv.con". @@ -518,11 +518,11 @@ The most important tests for convergence of series still apply: the comparison test (in both versions) and the ratio test. *) -inline "cic:/CoRN/ftc/MoreFunSeries/Convergence_Criteria/J.var" "Convergence_Criteria__". +alias id "J" = "cic:/CoRN/ftc/MoreFunSeries/Convergence_Criteria/J.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Convergence_Criteria/f.var" "Convergence_Criteria__". +alias id "f" = "cic:/CoRN/ftc/MoreFunSeries/Convergence_Criteria/f.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Convergence_Criteria/contF.var" "Convergence_Criteria__". +alias id "contF" = "cic:/CoRN/ftc/MoreFunSeries/Convergence_Criteria/contF.var". inline "cic:/CoRN/ftc/MoreFunSeries/fun_str_comparison_IR.con". @@ -549,11 +549,11 @@ $f_i$#fi# and inserting the null function in the first position. This does not affect convergence or the sum of the series. *) -inline "cic:/CoRN/ftc/MoreFunSeries/Insert_Series/J.var" "Insert_Series__". +alias id "J" = "cic:/CoRN/ftc/MoreFunSeries/Insert_Series/J.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Insert_Series/f.var" "Insert_Series__". +alias id "f" = "cic:/CoRN/ftc/MoreFunSeries/Insert_Series/f.var". -inline "cic:/CoRN/ftc/MoreFunSeries/Insert_Series/convF.var" "Insert_Series__". +alias id "convF" = "cic:/CoRN/ftc/MoreFunSeries/Insert_Series/convF.var". inline "cic:/CoRN/ftc/MoreFunSeries/insert_series.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/MoreFunctions.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/MoreFunctions.ma index 1849daa9d..4d7622ba2 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/MoreFunctions.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/MoreFunctions.ma @@ -44,7 +44,7 @@ arbitrary intervals. **Continuity *) -inline "cic:/CoRN/ftc/MoreFunctions/Basic_Results/I.var" "Basic_Results__". +alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Basic_Results/I.var". (*#* Trivial stuff. @@ -57,17 +57,17 @@ inline "cic:/CoRN/ftc/MoreFunctions/Continuous_imp_inc.con". %\end{convention}% *) -inline "cic:/CoRN/ftc/MoreFunctions/Basic_Results/cI.var" "Basic_Results__". +alias id "cI" = "cic:/CoRN/ftc/MoreFunctions/Basic_Results/cI.var". -inline "cic:/CoRN/ftc/MoreFunctions/Basic_Results/F.var" "Basic_Results__". +alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Basic_Results/F.var". -inline "cic:/CoRN/ftc/MoreFunctions/Basic_Results/contF.var" "Basic_Results__". +alias id "contF" = "cic:/CoRN/ftc/MoreFunctions/Basic_Results/contF.var". inline "cic:/CoRN/ftc/MoreFunctions/continuous_compact.con". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunctions/Basic_Results/Hinc.var" "Basic_Results__". +alias id "Hinc" = "cic:/CoRN/ftc/MoreFunctions/Basic_Results/Hinc.var". (* end show *) @@ -93,19 +93,19 @@ Section Other_Results The usual stuff. *) -inline "cic:/CoRN/ftc/MoreFunctions/Other_Results/I.var" "Other_Results__". +alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Other_Results/I.var". -inline "cic:/CoRN/ftc/MoreFunctions/Other_Results/F.var" "Other_Results__". +alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Other_Results/F.var". -inline "cic:/CoRN/ftc/MoreFunctions/Other_Results/G.var" "Other_Results__". +alias id "G" = "cic:/CoRN/ftc/MoreFunctions/Other_Results/G.var". inline "cic:/CoRN/ftc/MoreFunctions/Continuous_wd.con". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunctions/Other_Results/contF.var" "Other_Results__". +alias id "contF" = "cic:/CoRN/ftc/MoreFunctions/Other_Results/contF.var". -inline "cic:/CoRN/ftc/MoreFunctions/Other_Results/contG.var" "Other_Results__". +alias id "contG" = "cic:/CoRN/ftc/MoreFunctions/Other_Results/contG.var". (* end show *) @@ -151,17 +151,17 @@ Hint Immediate included_imp_Continuous Included_imp_Continuous: continuous. Section Corollaries *) -inline "cic:/CoRN/ftc/MoreFunctions/Corollaries/I.var" "Corollaries__". +alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Corollaries/I.var". -inline "cic:/CoRN/ftc/MoreFunctions/Corollaries/cI.var" "Corollaries__". +alias id "cI" = "cic:/CoRN/ftc/MoreFunctions/Corollaries/cI.var". -inline "cic:/CoRN/ftc/MoreFunctions/Corollaries/F.var" "Corollaries__". +alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Corollaries/F.var". -inline "cic:/CoRN/ftc/MoreFunctions/Corollaries/G.var" "Corollaries__". +alias id "G" = "cic:/CoRN/ftc/MoreFunctions/Corollaries/G.var". -inline "cic:/CoRN/ftc/MoreFunctions/Corollaries/contF.var" "Corollaries__". +alias id "contF" = "cic:/CoRN/ftc/MoreFunctions/Corollaries/contF.var". -inline "cic:/CoRN/ftc/MoreFunctions/Corollaries/contG.var" "Corollaries__". +alias id "contG" = "cic:/CoRN/ftc/MoreFunctions/Corollaries/contG.var". inline "cic:/CoRN/ftc/MoreFunctions/Continuous_div.con". @@ -179,7 +179,7 @@ Hint Resolve Continuous_div: continuous. Section Sums *) -inline "cic:/CoRN/ftc/MoreFunctions/Sums/I.var" "Sums__". +alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Sums/I.var". inline "cic:/CoRN/ftc/MoreFunctions/Continuous_Sumx.con". @@ -188,9 +188,9 @@ inline "cic:/CoRN/ftc/MoreFunctions/Continuous_Sumx.con". %\end{convention}% *) -inline "cic:/CoRN/ftc/MoreFunctions/Sums/f.var" "Sums__". +alias id "f" = "cic:/CoRN/ftc/MoreFunctions/Sums/f.var". -inline "cic:/CoRN/ftc/MoreFunctions/Sums/contF.var" "Sums__". +alias id "contF" = "cic:/CoRN/ftc/MoreFunctions/Sums/contF.var". inline "cic:/CoRN/ftc/MoreFunctions/Continuous_Sum0.con". @@ -216,15 +216,15 @@ Derivative is not that much different. %\end{convention}% *) -inline "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/I.var" "Basic_Properties__". +alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/I.var". -inline "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/pI.var" "Basic_Properties__". +alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/pI.var". -inline "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/F.var" "Basic_Properties__". +alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/F.var". -inline "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/G.var" "Basic_Properties__". +alias id "G" = "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/G.var". -inline "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/H.var" "Basic_Properties__". +alias id "H" = "cic:/CoRN/ftc/MoreFunctions/Basic_Properties/H.var". inline "cic:/CoRN/ftc/MoreFunctions/Derivative_wdl.con". @@ -257,26 +257,26 @@ Hint Immediate Derivative_imp_Continuous Derivative_imp_Continuous': Section More_Results *) -inline "cic:/CoRN/ftc/MoreFunctions/More_Results/I.var" "More_Results__". +alias id "I" = "cic:/CoRN/ftc/MoreFunctions/More_Results/I.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Results/pI.var" "More_Results__". +alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/More_Results/pI.var". (*#* %\begin{convention}% Assume that [F'] and [G'] are derivatives of [F] and [G], respectively, in [I]. %\end{convention}% *) -inline "cic:/CoRN/ftc/MoreFunctions/More_Results/F.var" "More_Results__". +alias id "F" = "cic:/CoRN/ftc/MoreFunctions/More_Results/F.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Results/F'.var" "More_Results__". +alias id "F'" = "cic:/CoRN/ftc/MoreFunctions/More_Results/F'.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Results/G.var" "More_Results__". +alias id "G" = "cic:/CoRN/ftc/MoreFunctions/More_Results/G.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Results/G'.var" "More_Results__". +alias id "G'" = "cic:/CoRN/ftc/MoreFunctions/More_Results/G'.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Results/derF.var" "More_Results__". +alias id "derF" = "cic:/CoRN/ftc/MoreFunctions/More_Results/derF.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Results/derG.var" "More_Results__". +alias id "derG" = "cic:/CoRN/ftc/MoreFunctions/More_Results/derG.var". inline "cic:/CoRN/ftc/MoreFunctions/included_imp_Derivative.con". @@ -308,25 +308,25 @@ End More_Results Section More_Corollaries *) -inline "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/I.var" "More_Corollaries__". +alias id "I" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/I.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/pI.var" "More_Corollaries__". +alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/pI.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/F.var" "More_Corollaries__". +alias id "F" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/F.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/F'.var" "More_Corollaries__". +alias id "F'" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/F'.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/G.var" "More_Corollaries__". +alias id "G" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/G.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/G'.var" "More_Corollaries__". +alias id "G'" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/G'.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/derF.var" "More_Corollaries__". +alias id "derF" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/derF.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/derG.var" "More_Corollaries__". +alias id "derG" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/derG.var". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/Gbnd.var" "More_Corollaries__". +alias id "Gbnd" = "cic:/CoRN/ftc/MoreFunctions/More_Corollaries/Gbnd.var". (* end show *) @@ -340,19 +340,19 @@ End More_Corollaries Section More_Sums *) -inline "cic:/CoRN/ftc/MoreFunctions/More_Sums/I.var" "More_Sums__". +alias id "I" = "cic:/CoRN/ftc/MoreFunctions/More_Sums/I.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Sums/pI.var" "More_Sums__". +alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/More_Sums/pI.var". inline "cic:/CoRN/ftc/MoreFunctions/Derivative_Sumx.con". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunctions/More_Sums/f.var" "More_Sums__". +alias id "f" = "cic:/CoRN/ftc/MoreFunctions/More_Sums/f.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Sums/f'.var" "More_Sums__". +alias id "f'" = "cic:/CoRN/ftc/MoreFunctions/More_Sums/f'.var". -inline "cic:/CoRN/ftc/MoreFunctions/More_Sums/derF.var" "More_Sums__". +alias id "derF" = "cic:/CoRN/ftc/MoreFunctions/More_Sums/derF.var". (* end show *) @@ -373,9 +373,9 @@ Section Diffble_Basic_Properties Mutatis mutandis for differentiability. *) -inline "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/I.var" "Diffble_Basic_Properties__". +alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/I.var". -inline "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/pI.var" "Diffble_Basic_Properties__". +alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/pI.var". inline "cic:/CoRN/ftc/MoreFunctions/Diffble_imp_inc.con". @@ -383,13 +383,13 @@ inline "cic:/CoRN/ftc/MoreFunctions/Derivative_imp_Diffble.con". inline "cic:/CoRN/ftc/MoreFunctions/Diffble_wd.con". -inline "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/F.var" "Diffble_Basic_Properties__". +alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/F.var". -inline "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/G.var" "Diffble_Basic_Properties__". +alias id "G" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/G.var". -inline "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/diffF.var" "Diffble_Basic_Properties__". +alias id "diffF" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/diffF.var". -inline "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/diffG.var" "Diffble_Basic_Properties__". +alias id "diffG" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Basic_Properties/diffG.var". (*#* %\begin{convention}% Assume [F] and [G] are differentiable in [I]. @@ -430,17 +430,17 @@ Hint Immediate Diffble_imp_inc: included. Section Diffble_Corollaries *) -inline "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/I.var" "Diffble_Corollaries__". +alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/I.var". -inline "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/pI.var" "Diffble_Corollaries__". +alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/pI.var". -inline "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/F.var" "Diffble_Corollaries__". +alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/F.var". -inline "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/G.var" "Diffble_Corollaries__". +alias id "G" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/G.var". -inline "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/diffF.var" "Diffble_Corollaries__". +alias id "diffF" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/diffF.var". -inline "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/diffG.var" "Diffble_Corollaries__". +alias id "diffG" = "cic:/CoRN/ftc/MoreFunctions/Diffble_Corollaries/diffG.var". inline "cic:/CoRN/ftc/MoreFunctions/Diffble_div.con". @@ -463,9 +463,9 @@ Section Nth_Derivative Higher order derivatives pose more interesting problems. It turns out that it really becomes necessary to generalize our [n_deriv] operator to any interval. *) -inline "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/I.var" "Nth_Derivative__". +alias id "I" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/I.var". -inline "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/pI.var" "Nth_Derivative__". +alias id "pI" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/pI.var". (* UNEXPORTED Section Definitions @@ -476,11 +476,11 @@ Section Definitions %\end{convention}% *) -inline "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Definitions/n.var" "Nth_Derivative__Definitions__". +alias id "n" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Definitions/n.var". -inline "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Definitions/F.var" "Nth_Derivative__Definitions__". +alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Definitions/F.var". -inline "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Definitions/diffF.var" "Nth_Derivative__Definitions__". +alias id "diffF" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Definitions/diffF.var". inline "cic:/CoRN/ftc/MoreFunctions/N_Deriv_fun.con". @@ -581,11 +581,11 @@ Section Derivating_Diffble As a special case we get a differentiation operator%\ldots%#...# *) -inline "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Derivating_Diffble/F.var" "Nth_Derivative__Derivating_Diffble__". +alias id "F" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Derivating_Diffble/F.var". (* begin show *) -inline "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Derivating_Diffble/diffF.var" "Nth_Derivative__Derivating_Diffble__". +alias id "diffF" = "cic:/CoRN/ftc/MoreFunctions/Nth_Derivative/Derivating_Diffble/diffF.var". (* end show *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/MoreIntegrals.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/MoreIntegrals.ma index 080394841..88fff5d7a 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/MoreIntegrals.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/MoreIntegrals.ma @@ -48,11 +48,11 @@ partial functions continuous in [[Min(a,b),Max(a,b)]]. Before we define the new integral we need to some trivial interval inclusions. *) -inline "cic:/CoRN/ftc/MoreIntegrals/Lemmas/a.var" "Lemmas__". +alias id "a" = "cic:/CoRN/ftc/MoreIntegrals/Lemmas/a.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Lemmas/b.var" "Lemmas__". +alias id "b" = "cic:/CoRN/ftc/MoreIntegrals/Lemmas/b.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Lemmas/Hab.var" "Lemmas__". +alias id "Hab" = "cic:/CoRN/ftc/MoreIntegrals/Lemmas/Hab.var". inline "cic:/CoRN/ftc/MoreIntegrals/compact_inc_Min_lft.con". @@ -74,15 +74,15 @@ classical definition, and it collapses to the old one in the case [a [<=] b]. *) -inline "cic:/CoRN/ftc/MoreIntegrals/Definitions/a.var" "Definitions__". +alias id "a" = "cic:/CoRN/ftc/MoreIntegrals/Definitions/a.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Definitions/b.var" "Definitions__". +alias id "b" = "cic:/CoRN/ftc/MoreIntegrals/Definitions/b.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Definitions/Hab.var" "Definitions__". +alias id "Hab" = "cic:/CoRN/ftc/MoreIntegrals/Definitions/Hab.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Definitions/F.var" "Definitions__". +alias id "F" = "cic:/CoRN/ftc/MoreIntegrals/Definitions/F.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Definitions/HF.var" "Definitions__". +alias id "HF" = "cic:/CoRN/ftc/MoreIntegrals/Definitions/HF.var". inline "cic:/CoRN/ftc/MoreIntegrals/Integral_inc1.con". @@ -110,19 +110,19 @@ All our old properties carry over to this new definition---and some new ones, too. We begin with (strong) extensionality. *) -inline "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/a.var" "Properties_of_Integral__". +alias id "a" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/a.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/b.var" "Properties_of_Integral__". +alias id "b" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/b.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/Hab.var" "Properties_of_Integral__". +alias id "Hab" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/Hab.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/F.var" "Properties_of_Integral__". +alias id "F" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/F.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/G.var" "Properties_of_Integral__". +alias id "G" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/G.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/contF.var" "Properties_of_Integral__". +alias id "contF" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/contF.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/contG.var" "Properties_of_Integral__". +alias id "contG" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/contG.var". inline "cic:/CoRN/ftc/MoreIntegrals/Integral_strext.con". @@ -183,35 +183,35 @@ And now we can prove the addition law for domains with our general operator. %\end{convention}% *) -inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/a.var" "More_Properties__". +alias id "a" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/a.var". -inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/b.var" "More_Properties__". +alias id "b" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/b.var". -inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/c.var" "More_Properties__". +alias id "c" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/c.var". (* begin show *) -inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hab'.var" "More_Properties__". +alias id "Hab'" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hab'.var". -inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hac'.var" "More_Properties__". +alias id "Hac'" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hac'.var". -inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hcb'.var" "More_Properties__". +alias id "Hcb'" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hcb'.var". -inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc'.var" "More_Properties__". +alias id "Habc'" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc'.var". (* end show *) -inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/F.var" "More_Properties__". +alias id "F" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/F.var". (* begin show *) -inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hab.var" "More_Properties__". +alias id "Hab" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hab.var". -inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hac.var" "More_Properties__". +alias id "Hac" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hac.var". -inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hcb.var" "More_Properties__". +alias id "Hcb" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hcb.var". -inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc.var" "More_Properties__". +alias id "Habc" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc.var". (* end show *) @@ -272,15 +272,15 @@ End More_Properties Section Corollaries *) -inline "cic:/CoRN/ftc/MoreIntegrals/Corollaries/a.var" "Corollaries__". +alias id "a" = "cic:/CoRN/ftc/MoreIntegrals/Corollaries/a.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Corollaries/b.var" "Corollaries__". +alias id "b" = "cic:/CoRN/ftc/MoreIntegrals/Corollaries/b.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Corollaries/Hab.var" "Corollaries__". +alias id "Hab" = "cic:/CoRN/ftc/MoreIntegrals/Corollaries/Hab.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Corollaries/F.var" "Corollaries__". +alias id "F" = "cic:/CoRN/ftc/MoreIntegrals/Corollaries/F.var". -inline "cic:/CoRN/ftc/MoreIntegrals/Corollaries/contF.var" "Corollaries__". +alias id "contF" = "cic:/CoRN/ftc/MoreIntegrals/Corollaries/contF.var". (*#* As a corollary, we get the following rule: *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/MoreIntervals.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/MoreIntervals.ma index bf25f0f7f..30bf4b423 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/MoreIntervals.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/MoreIntervals.ma @@ -216,13 +216,13 @@ such that [P(x)] holds. %\end{convention}% *) -inline "cic:/CoRN/ftc/MoreIntervals/Compact_Constructions/Single_Compact_Interval/P.var" "Compact_Constructions__Single_Compact_Interval__". +alias id "P" = "cic:/CoRN/ftc/MoreIntervals/Compact_Constructions/Single_Compact_Interval/P.var". -inline "cic:/CoRN/ftc/MoreIntervals/Compact_Constructions/Single_Compact_Interval/wdP.var" "Compact_Constructions__Single_Compact_Interval__". +alias id "wdP" = "cic:/CoRN/ftc/MoreIntervals/Compact_Constructions/Single_Compact_Interval/wdP.var". -inline "cic:/CoRN/ftc/MoreIntervals/Compact_Constructions/Single_Compact_Interval/x.var" "Compact_Constructions__Single_Compact_Interval__". +alias id "x" = "cic:/CoRN/ftc/MoreIntervals/Compact_Constructions/Single_Compact_Interval/x.var". -inline "cic:/CoRN/ftc/MoreIntervals/Compact_Constructions/Single_Compact_Interval/Hx.var" "Compact_Constructions__Single_Compact_Interval__". +alias id "Hx" = "cic:/CoRN/ftc/MoreIntervals/Compact_Constructions/Single_Compact_Interval/Hx.var". inline "cic:/CoRN/ftc/MoreIntervals/compact_single.con". @@ -389,9 +389,9 @@ previously defined concepts. %\end{convention}% *) -inline "cic:/CoRN/ftc/MoreIntervals/Functions/n.var" "Functions__". +alias id "n" = "cic:/CoRN/ftc/MoreIntervals/Functions/n.var". -inline "cic:/CoRN/ftc/MoreIntervals/Functions/I.var" "Functions__". +alias id "I" = "cic:/CoRN/ftc/MoreIntervals/Functions/I.var". inline "cic:/CoRN/ftc/MoreIntervals/Continuous.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/NthDerivative.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/NthDerivative.ma index dbcbf20ac..180d8a7a2 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/NthDerivative.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/NthDerivative.ma @@ -42,11 +42,11 @@ We now study higher order differentiability. We first define what we mean by the derivative of order [n] of a function. *) -inline "cic:/CoRN/ftc/NthDerivative/Nth_Derivative/a.var" "Nth_Derivative__". +alias id "a" = "cic:/CoRN/ftc/NthDerivative/Nth_Derivative/a.var". -inline "cic:/CoRN/ftc/NthDerivative/Nth_Derivative/b.var" "Nth_Derivative__". +alias id "b" = "cic:/CoRN/ftc/NthDerivative/Nth_Derivative/b.var". -inline "cic:/CoRN/ftc/NthDerivative/Nth_Derivative/Hab'.var" "Nth_Derivative__". +alias id "Hab'" = "cic:/CoRN/ftc/NthDerivative/Nth_Derivative/Hab'.var". (* begin hide *) @@ -88,11 +88,11 @@ Section Trivia These are the expected extensionality and uniqueness results. *) -inline "cic:/CoRN/ftc/NthDerivative/Trivia/a.var" "Trivia__". +alias id "a" = "cic:/CoRN/ftc/NthDerivative/Trivia/a.var". -inline "cic:/CoRN/ftc/NthDerivative/Trivia/b.var" "Trivia__". +alias id "b" = "cic:/CoRN/ftc/NthDerivative/Trivia/b.var". -inline "cic:/CoRN/ftc/NthDerivative/Trivia/Hab'.var" "Trivia__". +alias id "Hab'" = "cic:/CoRN/ftc/NthDerivative/Trivia/Hab'.var". (* begin hide *) @@ -126,11 +126,11 @@ the relation of [n] times derivative, but focus rather on the definition of [Diffble_I_n]. *) -inline "cic:/CoRN/ftc/NthDerivative/Basic_Results/a.var" "Basic_Results__". +alias id "a" = "cic:/CoRN/ftc/NthDerivative/Basic_Results/a.var". -inline "cic:/CoRN/ftc/NthDerivative/Basic_Results/b.var" "Basic_Results__". +alias id "b" = "cic:/CoRN/ftc/NthDerivative/Basic_Results/b.var". -inline "cic:/CoRN/ftc/NthDerivative/Basic_Results/Hab'.var" "Basic_Results__". +alias id "Hab'" = "cic:/CoRN/ftc/NthDerivative/Basic_Results/Hab'.var". (* begin hide *) @@ -196,11 +196,11 @@ First order differentiability is just a special case. (* begin show *) -inline "cic:/CoRN/ftc/NthDerivative/Basic_Results/aux/F.var" "Basic_Results__aux__". +alias id "F" = "cic:/CoRN/ftc/NthDerivative/Basic_Results/aux/F.var". -inline "cic:/CoRN/ftc/NthDerivative/Basic_Results/aux/diffF.var" "Basic_Results__aux__". +alias id "diffF" = "cic:/CoRN/ftc/NthDerivative/Basic_Results/aux/diffF.var". -inline "cic:/CoRN/ftc/NthDerivative/Basic_Results/aux/diffFn.var" "Basic_Results__aux__". +alias id "diffFn" = "cic:/CoRN/ftc/NthDerivative/Basic_Results/aux/diffFn.var". (* end show *) @@ -234,11 +234,11 @@ End Basic_Results Section More_Results *) -inline "cic:/CoRN/ftc/NthDerivative/More_Results/a.var" "More_Results__". +alias id "a" = "cic:/CoRN/ftc/NthDerivative/More_Results/a.var". -inline "cic:/CoRN/ftc/NthDerivative/More_Results/b.var" "More_Results__". +alias id "b" = "cic:/CoRN/ftc/NthDerivative/More_Results/b.var". -inline "cic:/CoRN/ftc/NthDerivative/More_Results/Hab'.var" "More_Results__". +alias id "Hab'" = "cic:/CoRN/ftc/NthDerivative/More_Results/Hab'.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/PartFunEquality.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/PartFunEquality.ma index 833fe2bc9..9771d16f2 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/PartFunEquality.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/PartFunEquality.ma @@ -87,11 +87,11 @@ by [P] and [Q], respectively, the domains of [F] and [G]. %\end{convention}% *) -inline "cic:/CoRN/ftc/PartFunEquality/Equality_Results/I.var" "Equality_Results__". +alias id "I" = "cic:/CoRN/ftc/PartFunEquality/Equality_Results/I.var". -inline "cic:/CoRN/ftc/PartFunEquality/Equality_Results/F.var" "Equality_Results__". +alias id "F" = "cic:/CoRN/ftc/PartFunEquality/Equality_Results/F.var". -inline "cic:/CoRN/ftc/PartFunEquality/Equality_Results/G.var" "Equality_Results__". +alias id "G" = "cic:/CoRN/ftc/PartFunEquality/Equality_Results/G.var". (* begin hide *) @@ -101,7 +101,7 @@ inline "cic:/CoRN/ftc/PartFunEquality/Equality_Results/Q.con" "Equality_Results_ (* end hide *) -inline "cic:/CoRN/ftc/PartFunEquality/Equality_Results/R.var" "Equality_Results__". +alias id "R" = "cic:/CoRN/ftc/PartFunEquality/Equality_Results/R.var". (*#* We start with two lemmas which make it much easier to prove and use @@ -156,9 +156,9 @@ the domain of [F]. %\end{convention}% *) -inline "cic:/CoRN/ftc/PartFunEquality/Away_from_Zero/Definitions/I.var" "Away_from_Zero__Definitions__". +alias id "I" = "cic:/CoRN/ftc/PartFunEquality/Away_from_Zero/Definitions/I.var". -inline "cic:/CoRN/ftc/PartFunEquality/Away_from_Zero/Definitions/F.var" "Away_from_Zero__Definitions__". +alias id "F" = "cic:/CoRN/ftc/PartFunEquality/Away_from_Zero/Definitions/F.var". (* begin hide *) @@ -174,7 +174,7 @@ If [F] is bounded away from zero in [I] then [F] is necessarily apart from zero (* begin show *) -inline "cic:/CoRN/ftc/PartFunEquality/Away_from_Zero/Definitions/Hf.var" "Away_from_Zero__Definitions__". +alias id "Hf" = "cic:/CoRN/ftc/PartFunEquality/Away_from_Zero/Definitions/Hf.var". (* end show *) @@ -195,11 +195,11 @@ Boundedness away from zero is preserved through restriction of the set. %\end{convention}% *) -inline "cic:/CoRN/ftc/PartFunEquality/Away_from_Zero/F.var" "Away_from_Zero__". +alias id "F" = "cic:/CoRN/ftc/PartFunEquality/Away_from_Zero/F.var". -inline "cic:/CoRN/ftc/PartFunEquality/Away_from_Zero/P.var" "Away_from_Zero__". +alias id "P" = "cic:/CoRN/ftc/PartFunEquality/Away_from_Zero/P.var". -inline "cic:/CoRN/ftc/PartFunEquality/Away_from_Zero/Q.var" "Away_from_Zero__". +alias id "Q" = "cic:/CoRN/ftc/PartFunEquality/Away_from_Zero/Q.var". inline "cic:/CoRN/ftc/PartFunEquality/included_imp_bnd.con". @@ -261,17 +261,17 @@ partial functions. %\end{convention}% *) -inline "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/I.var" "More_on_Equality__". +alias id "I" = "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/I.var". (* UNEXPORTED Section Feq_Equivalence *) -inline "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Feq_Equivalence/F.var" "More_on_Equality__Feq_Equivalence__". +alias id "F" = "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Feq_Equivalence/F.var". -inline "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Feq_Equivalence/G.var" "More_on_Equality__Feq_Equivalence__". +alias id "G" = "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Feq_Equivalence/G.var". -inline "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Feq_Equivalence/H.var" "More_on_Equality__Feq_Equivalence__". +alias id "H" = "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Feq_Equivalence/H.var". inline "cic:/CoRN/ftc/PartFunEquality/Feq_reflexive.con". @@ -291,13 +291,13 @@ Section Operations Also it is preserved through application of functional constructors and restriction. *) -inline "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Operations/F.var" "More_on_Equality__Operations__". +alias id "F" = "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Operations/F.var". -inline "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Operations/F'.var" "More_on_Equality__Operations__". +alias id "F'" = "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Operations/F'.var". -inline "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Operations/G.var" "More_on_Equality__Operations__". +alias id "G" = "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Operations/G.var". -inline "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Operations/G'.var" "More_on_Equality__Operations__". +alias id "G'" = "cic:/CoRN/ftc/PartFunEquality/More_on_Equality/Operations/G'.var". inline "cic:/CoRN/ftc/PartFunEquality/Feq_plus.con". @@ -355,7 +355,7 @@ equality relation. %\end{convention}% *) -inline "cic:/CoRN/ftc/PartFunEquality/Nth_Power/F.var" "Nth_Power__". +alias id "F" = "cic:/CoRN/ftc/PartFunEquality/Nth_Power/F.var". (* begin hide *) @@ -363,17 +363,17 @@ inline "cic:/CoRN/ftc/PartFunEquality/Nth_Power/P.con" "Nth_Power__". (* end hide *) -inline "cic:/CoRN/ftc/PartFunEquality/Nth_Power/Q.var" "Nth_Power__". +alias id "Q" = "cic:/CoRN/ftc/PartFunEquality/Nth_Power/Q.var". -inline "cic:/CoRN/ftc/PartFunEquality/Nth_Power/H.var" "Nth_Power__". +alias id "H" = "cic:/CoRN/ftc/PartFunEquality/Nth_Power/H.var". -inline "cic:/CoRN/ftc/PartFunEquality/Nth_Power/Hf.var" "Nth_Power__". +alias id "Hf" = "cic:/CoRN/ftc/PartFunEquality/Nth_Power/Hf.var". inline "cic:/CoRN/ftc/PartFunEquality/FNth_zero.con". -inline "cic:/CoRN/ftc/PartFunEquality/Nth_Power/n.var" "Nth_Power__". +alias id "n" = "cic:/CoRN/ftc/PartFunEquality/Nth_Power/n.var". -inline "cic:/CoRN/ftc/PartFunEquality/Nth_Power/H'.var" "Nth_Power__". +alias id "H'" = "cic:/CoRN/ftc/PartFunEquality/Nth_Power/H'.var". inline "cic:/CoRN/ftc/PartFunEquality/FNth_mult.con". @@ -391,11 +391,11 @@ is included in the domain of [F]. %\end{convention}% *) -inline "cic:/CoRN/ftc/PartFunEquality/Strong_Nth_Power/a.var" "Strong_Nth_Power__". +alias id "a" = "cic:/CoRN/ftc/PartFunEquality/Strong_Nth_Power/a.var". -inline "cic:/CoRN/ftc/PartFunEquality/Strong_Nth_Power/b.var" "Strong_Nth_Power__". +alias id "b" = "cic:/CoRN/ftc/PartFunEquality/Strong_Nth_Power/b.var". -inline "cic:/CoRN/ftc/PartFunEquality/Strong_Nth_Power/Hab.var" "Strong_Nth_Power__". +alias id "Hab" = "cic:/CoRN/ftc/PartFunEquality/Strong_Nth_Power/Hab.var". (* begin hide *) @@ -403,9 +403,9 @@ inline "cic:/CoRN/ftc/PartFunEquality/Strong_Nth_Power/I.con" "Strong_Nth_Power_ (* end hide *) -inline "cic:/CoRN/ftc/PartFunEquality/Strong_Nth_Power/F.var" "Strong_Nth_Power__". +alias id "F" = "cic:/CoRN/ftc/PartFunEquality/Strong_Nth_Power/F.var". -inline "cic:/CoRN/ftc/PartFunEquality/Strong_Nth_Power/incF.var" "Strong_Nth_Power__". +alias id "incF" = "cic:/CoRN/ftc/PartFunEquality/Strong_Nth_Power/incF.var". inline "cic:/CoRN/ftc/PartFunEquality/FNth_zero'.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/PartInterval.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/PartInterval.ma index 129048447..a46add4bc 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/PartInterval.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/PartInterval.ma @@ -45,13 +45,13 @@ that [I [=] [a,b]] is included in the domain of [F]. %\end{convention}% *) -inline "cic:/CoRN/ftc/PartInterval/Conversion/F.var" "Conversion__". +alias id "F" = "cic:/CoRN/ftc/PartInterval/Conversion/F.var". -inline "cic:/CoRN/ftc/PartInterval/Conversion/a.var" "Conversion__". +alias id "a" = "cic:/CoRN/ftc/PartInterval/Conversion/a.var". -inline "cic:/CoRN/ftc/PartInterval/Conversion/b.var" "Conversion__". +alias id "b" = "cic:/CoRN/ftc/PartInterval/Conversion/b.var". -inline "cic:/CoRN/ftc/PartInterval/Conversion/Hab.var" "Conversion__". +alias id "Hab" = "cic:/CoRN/ftc/PartInterval/Conversion/Hab.var". (* begin hide *) @@ -59,7 +59,7 @@ inline "cic:/CoRN/ftc/PartInterval/Conversion/I.con" "Conversion__". (* end hide *) -inline "cic:/CoRN/ftc/PartInterval/Conversion/Hf.var" "Conversion__". +alias id "Hf" = "cic:/CoRN/ftc/PartInterval/Conversion/Hf.var". inline "cic:/CoRN/ftc/PartInterval/IntPartIR_strext.con". @@ -82,11 +82,11 @@ To go the other way around, we simply take a setoid function [f] with domain [[a,b]] and build the corresponding partial function. *) -inline "cic:/CoRN/ftc/PartInterval/AntiConversion/a.var" "AntiConversion__". +alias id "a" = "cic:/CoRN/ftc/PartInterval/AntiConversion/a.var". -inline "cic:/CoRN/ftc/PartInterval/AntiConversion/b.var" "AntiConversion__". +alias id "b" = "cic:/CoRN/ftc/PartInterval/AntiConversion/b.var". -inline "cic:/CoRN/ftc/PartInterval/AntiConversion/Hab.var" "AntiConversion__". +alias id "Hab" = "cic:/CoRN/ftc/PartInterval/AntiConversion/Hab.var". (* begin hide *) @@ -94,7 +94,7 @@ inline "cic:/CoRN/ftc/PartInterval/AntiConversion/I.con" "AntiConversion__". (* end hide *) -inline "cic:/CoRN/ftc/PartInterval/AntiConversion/f.var" "AntiConversion__". +alias id "f" = "cic:/CoRN/ftc/PartInterval/AntiConversion/f.var". inline "cic:/CoRN/ftc/PartInterval/PartInt_strext.con". @@ -137,17 +137,17 @@ type [I->IR] equal respectively to [F] and [G] in [I]. %\end{convention}% *) -inline "cic:/CoRN/ftc/PartInterval/Equivalences/F.var" "Equivalences__". +alias id "F" = "cic:/CoRN/ftc/PartInterval/Equivalences/F.var". -inline "cic:/CoRN/ftc/PartInterval/Equivalences/G.var" "Equivalences__". +alias id "G" = "cic:/CoRN/ftc/PartInterval/Equivalences/G.var". -inline "cic:/CoRN/ftc/PartInterval/Equivalences/a.var" "Equivalences__". +alias id "a" = "cic:/CoRN/ftc/PartInterval/Equivalences/a.var". -inline "cic:/CoRN/ftc/PartInterval/Equivalences/b.var" "Equivalences__". +alias id "b" = "cic:/CoRN/ftc/PartInterval/Equivalences/b.var". -inline "cic:/CoRN/ftc/PartInterval/Equivalences/c.var" "Equivalences__". +alias id "c" = "cic:/CoRN/ftc/PartInterval/Equivalences/c.var". -inline "cic:/CoRN/ftc/PartInterval/Equivalences/Hab.var" "Equivalences__". +alias id "Hab" = "cic:/CoRN/ftc/PartInterval/Equivalences/Hab.var". (* begin hide *) @@ -155,13 +155,13 @@ inline "cic:/CoRN/ftc/PartInterval/Equivalences/I.con" "Equivalences__". (* end hide *) -inline "cic:/CoRN/ftc/PartInterval/Equivalences/f.var" "Equivalences__". +alias id "f" = "cic:/CoRN/ftc/PartInterval/Equivalences/f.var". -inline "cic:/CoRN/ftc/PartInterval/Equivalences/g.var" "Equivalences__". +alias id "g" = "cic:/CoRN/ftc/PartInterval/Equivalences/g.var". -inline "cic:/CoRN/ftc/PartInterval/Equivalences/Ff.var" "Equivalences__". +alias id "Ff" = "cic:/CoRN/ftc/PartInterval/Equivalences/Ff.var". -inline "cic:/CoRN/ftc/PartInterval/Equivalences/Gg.var" "Equivalences__". +alias id "Gg" = "cic:/CoRN/ftc/PartInterval/Equivalences/Gg.var". inline "cic:/CoRN/ftc/PartInterval/part_int_const.con". @@ -179,9 +179,9 @@ inline "cic:/CoRN/ftc/PartInterval/part_int_nth.con". (* begin show *) -inline "cic:/CoRN/ftc/PartInterval/Equivalences/HG.var" "Equivalences__". +alias id "HG" = "cic:/CoRN/ftc/PartInterval/Equivalences/HG.var". -inline "cic:/CoRN/ftc/PartInterval/Equivalences/Hg.var" "Equivalences__". +alias id "Hg" = "cic:/CoRN/ftc/PartInterval/Equivalences/Hg.var". (* end show *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/Partitions.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/Partitions.ma index f99410089..b303160d1 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/Partitions.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/Partitions.ma @@ -107,19 +107,19 @@ inline "cic:/CoRN/ftc/Partitions/Even_Partition.con". Section Refinements *) -inline "cic:/CoRN/ftc/Partitions/Definitions/Refinements/a.var" "Definitions__Refinements__". +alias id "a" = "cic:/CoRN/ftc/Partitions/Definitions/Refinements/a.var". -inline "cic:/CoRN/ftc/Partitions/Definitions/Refinements/b.var" "Definitions__Refinements__". +alias id "b" = "cic:/CoRN/ftc/Partitions/Definitions/Refinements/b.var". -inline "cic:/CoRN/ftc/Partitions/Definitions/Refinements/Hab.var" "Definitions__Refinements__". +alias id "Hab" = "cic:/CoRN/ftc/Partitions/Definitions/Refinements/Hab.var". -inline "cic:/CoRN/ftc/Partitions/Definitions/Refinements/m.var" "Definitions__Refinements__". +alias id "m" = "cic:/CoRN/ftc/Partitions/Definitions/Refinements/m.var". -inline "cic:/CoRN/ftc/Partitions/Definitions/Refinements/n.var" "Definitions__Refinements__". +alias id "n" = "cic:/CoRN/ftc/Partitions/Definitions/Refinements/n.var". -inline "cic:/CoRN/ftc/Partitions/Definitions/Refinements/P.var" "Definitions__Refinements__". +alias id "P" = "cic:/CoRN/ftc/Partitions/Definitions/Refinements/P.var". -inline "cic:/CoRN/ftc/Partitions/Definitions/Refinements/Q.var" "Definitions__Refinements__". +alias id "Q" = "cic:/CoRN/ftc/Partitions/Definitions/Refinements/Q.var". (*#* We now define what it means for a partition [Q] to be a refinement of @@ -165,11 +165,11 @@ We now formalize some trivial and helpful constructions. %\end{convention}% *) -inline "cic:/CoRN/ftc/Partitions/Definitions/a.var" "Definitions__". +alias id "a" = "cic:/CoRN/ftc/Partitions/Definitions/a.var". -inline "cic:/CoRN/ftc/Partitions/Definitions/b.var" "Definitions__". +alias id "b" = "cic:/CoRN/ftc/Partitions/Definitions/b.var". -inline "cic:/CoRN/ftc/Partitions/Definitions/Hab.var" "Definitions__". +alias id "Hab" = "cic:/CoRN/ftc/Partitions/Definitions/Hab.var". (* begin hide *) @@ -190,9 +190,9 @@ partition. %\end{convention}% *) -inline "cic:/CoRN/ftc/Partitions/Definitions/Getting_Points/m.var" "Definitions__Getting_Points__". +alias id "m" = "cic:/CoRN/ftc/Partitions/Definitions/Getting_Points/m.var". -inline "cic:/CoRN/ftc/Partitions/Definitions/Getting_Points/Q.var" "Definitions__Getting_Points__". +alias id "Q" = "cic:/CoRN/ftc/Partitions/Definitions/Getting_Points/Q.var". inline "cic:/CoRN/ftc/Partitions/Partition_imp_points.con". @@ -208,9 +208,9 @@ End Getting_Points As a corollary, given any continuous function [F] and a natural number we have an immediate choice of a sum of [F] in [[a,b]]. *) -inline "cic:/CoRN/ftc/Partitions/Definitions/F.var" "Definitions__". +alias id "F" = "cic:/CoRN/ftc/Partitions/Definitions/F.var". -inline "cic:/CoRN/ftc/Partitions/Definitions/contF.var" "Definitions__". +alias id "contF" = "cic:/CoRN/ftc/Partitions/Definitions/contF.var". inline "cic:/CoRN/ftc/Partitions/Even_Partition_Sum.con". @@ -300,9 +300,9 @@ with [n] points. %\end{convention}% *) -inline "cic:/CoRN/ftc/Partitions/Lemmas/a.var" "Lemmas__". +alias id "a" = "cic:/CoRN/ftc/Partitions/Lemmas/a.var". -inline "cic:/CoRN/ftc/Partitions/Lemmas/b.var" "Lemmas__". +alias id "b" = "cic:/CoRN/ftc/Partitions/Lemmas/b.var". (* begin hide *) @@ -310,11 +310,11 @@ inline "cic:/CoRN/ftc/Partitions/Lemmas/I.con" "Lemmas__". (* end hide *) -inline "cic:/CoRN/ftc/Partitions/Lemmas/Hab.var" "Lemmas__". +alias id "Hab" = "cic:/CoRN/ftc/Partitions/Lemmas/Hab.var". -inline "cic:/CoRN/ftc/Partitions/Lemmas/n.var" "Lemmas__". +alias id "n" = "cic:/CoRN/ftc/Partitions/Lemmas/n.var". -inline "cic:/CoRN/ftc/Partitions/Lemmas/P.var" "Lemmas__". +alias id "P" = "cic:/CoRN/ftc/Partitions/Lemmas/P.var". inline "cic:/CoRN/ftc/Partitions/Mesh_lemma.con". @@ -348,9 +348,9 @@ inline "cic:/CoRN/ftc/Partitions/even_partition_Mesh.con". %\end{convention}% *) -inline "cic:/CoRN/ftc/Partitions/Even_Partitions/a.var" "Even_Partitions__". +alias id "a" = "cic:/CoRN/ftc/Partitions/Even_Partitions/a.var". -inline "cic:/CoRN/ftc/Partitions/Even_Partitions/b.var" "Even_Partitions__". +alias id "b" = "cic:/CoRN/ftc/Partitions/Even_Partitions/b.var". (* begin hide *) @@ -358,7 +358,7 @@ inline "cic:/CoRN/ftc/Partitions/Even_Partitions/I.con" "Even_Partitions__". (* end hide *) -inline "cic:/CoRN/ftc/Partitions/Even_Partitions/Hab.var" "Even_Partitions__". +alias id "Hab" = "cic:/CoRN/ftc/Partitions/Even_Partitions/Hab.var". (*#* An interesting property: in a partition, if [ai [<] aj] then [i < j]. @@ -377,13 +377,13 @@ denote by [P] and [Q] the even partitions with, respectively, [m] and Even partitions always have a common refinement. *) -inline "cic:/CoRN/ftc/Partitions/Even_Partitions/m.var" "Even_Partitions__". +alias id "m" = "cic:/CoRN/ftc/Partitions/Even_Partitions/m.var". -inline "cic:/CoRN/ftc/Partitions/Even_Partitions/n.var" "Even_Partitions__". +alias id "n" = "cic:/CoRN/ftc/Partitions/Even_Partitions/n.var". -inline "cic:/CoRN/ftc/Partitions/Even_Partitions/Hm.var" "Even_Partitions__". +alias id "Hm" = "cic:/CoRN/ftc/Partitions/Even_Partitions/Hm.var". -inline "cic:/CoRN/ftc/Partitions/Even_Partitions/Hn.var" "Even_Partitions__". +alias id "Hn" = "cic:/CoRN/ftc/Partitions/Even_Partitions/Hn.var". (* begin hide *) @@ -408,11 +408,11 @@ Section More_Definitions Some auxiliary definitions. A partition is said to be separated if all its points are distinct. *) -inline "cic:/CoRN/ftc/Partitions/More_Definitions/a.var" "More_Definitions__". +alias id "a" = "cic:/CoRN/ftc/Partitions/More_Definitions/a.var". -inline "cic:/CoRN/ftc/Partitions/More_Definitions/b.var" "More_Definitions__". +alias id "b" = "cic:/CoRN/ftc/Partitions/More_Definitions/b.var". -inline "cic:/CoRN/ftc/Partitions/More_Definitions/Hab.var" "More_Definitions__". +alias id "Hab" = "cic:/CoRN/ftc/Partitions/More_Definitions/Hab.var". inline "cic:/CoRN/ftc/Partitions/_Separated.con". @@ -426,13 +426,13 @@ respectively, [n] and [m] points. %\end{convention}% *) -inline "cic:/CoRN/ftc/Partitions/More_Definitions/n.var" "More_Definitions__". +alias id "n" = "cic:/CoRN/ftc/Partitions/More_Definitions/n.var". -inline "cic:/CoRN/ftc/Partitions/More_Definitions/m.var" "More_Definitions__". +alias id "m" = "cic:/CoRN/ftc/Partitions/More_Definitions/m.var". -inline "cic:/CoRN/ftc/Partitions/More_Definitions/P.var" "More_Definitions__". +alias id "P" = "cic:/CoRN/ftc/Partitions/More_Definitions/P.var". -inline "cic:/CoRN/ftc/Partitions/More_Definitions/Q.var" "More_Definitions__". +alias id "Q" = "cic:/CoRN/ftc/Partitions/More_Definitions/Q.var". inline "cic:/CoRN/ftc/Partitions/Separated.con". @@ -452,9 +452,9 @@ Implicit Arguments Separated [a b Hab n m]. Section Sep_Partitions *) -inline "cic:/CoRN/ftc/Partitions/Sep_Partitions/a.var" "Sep_Partitions__". +alias id "a" = "cic:/CoRN/ftc/Partitions/Sep_Partitions/a.var". -inline "cic:/CoRN/ftc/Partitions/Sep_Partitions/b.var" "Sep_Partitions__". +alias id "b" = "cic:/CoRN/ftc/Partitions/Sep_Partitions/b.var". (* begin hide *) @@ -462,7 +462,7 @@ inline "cic:/CoRN/ftc/Partitions/Sep_Partitions/I.con" "Sep_Partitions__". (* end hide *) -inline "cic:/CoRN/ftc/Partitions/Sep_Partitions/Hab.var" "Sep_Partitions__". +alias id "Hab" = "cic:/CoRN/ftc/Partitions/Sep_Partitions/Hab.var". (*#* The antimesh of a separated partition is always positive. diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/RefLemma.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/RefLemma.ma index d739213c0..6034e5361 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/RefLemma.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/RefLemma.ma @@ -81,11 +81,11 @@ Using the results from these files, we prove our main lemma in several steps %\end{convention}% *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/a.var" "Refinement_Lemma__". +alias id "a" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/a.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/b.var" "Refinement_Lemma__". +alias id "b" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/b.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Hab.var" "Refinement_Lemma__". +alias id "Hab" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Hab.var". (* begin hide *) @@ -93,11 +93,11 @@ inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/I.con" "Refinement_Lemma__". (* end hide *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/F.var" "Refinement_Lemma__". +alias id "F" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/F.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/contF.var" "Refinement_Lemma__". +alias id "contF" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/contF.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/incF.var" "Refinement_Lemma__". +alias id "incF" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/incF.var". (* begin hide *) @@ -124,9 +124,9 @@ respectively. %\end{convention}% *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/e.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "e" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/e.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/He.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "He" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/He.var". (* begin hide *) @@ -134,29 +134,29 @@ inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/d.con" "R (* end hide *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/m.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "m" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/m.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/n.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "n" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/n.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/P.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "P" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/P.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/HMesh.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "HMesh" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/HMesh.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/Q.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "Q" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/Q.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/Href.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "Href" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/Href.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/fP.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "fP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/fP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/HfP.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "HfP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/HfP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/HfP'.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "HfP'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/HfP'.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/fQ.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "fQ" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/fQ.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/HfQ.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "HfQ" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/HfQ.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/HfQ'.var" "Refinement_Lemma__First_Refinement_Lemma__". +alias id "HfQ'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/First_Refinement_Lemma/HfQ'.var". (* begin hide *) @@ -246,29 +246,29 @@ and [R], respectively. %\end{convention}% *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/n.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "n" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/n.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/j.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "j" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/j.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/k.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "k" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/k.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/P.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "P" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/P.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/Q.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "Q" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/Q.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/R.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "R" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/R.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HrefP.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "HrefP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HrefP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HrefR.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "HrefR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HrefR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/e.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "e" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/e.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/e'.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "e'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/e'.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/He.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "He" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/He.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/He'.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "He'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/He'.var". (* begin hide *) @@ -278,21 +278,21 @@ inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/d'.con" (* end hide *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HMeshP.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "HMeshP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HMeshP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HMeshR.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "HMeshR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HMeshR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/fP.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "fP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/fP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HfP.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "HfP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HfP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HfP'.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "HfP'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HfP'.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/fR.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "fR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/fR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HfR.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "HfR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HfR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HfR'.var" "Refinement_Lemma__Second_Refinement_Lemma__". +alias id "HfR'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Second_Refinement_Lemma/HfR'.var". inline "cic:/CoRN/ftc/RefLemma/second_refinement_lemma.con". @@ -320,21 +320,21 @@ respectively; %\end{convention}% *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/n.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "n" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/n.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/m.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "m" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/m.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/P.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "P" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/P.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/R.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "R" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/R.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/e.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "e" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/e.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/e'.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "e'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/e'.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/He.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "He" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/He.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/He'.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "He'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/He'.var". (* begin hide *) @@ -344,27 +344,27 @@ inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/d'.con" " (* end hide *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/HMeshP.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "HMeshP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/HMeshP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/HMeshR.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "HMeshR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/HMeshR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/fP.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "fP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/fP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/HfP.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "HfP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/HfP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/HfP'.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "HfP'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/HfP'.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/fR.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "fR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/fR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/HfR.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "HfR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/HfR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/HfR'.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "HfR'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/HfR'.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/Hab'.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "Hab'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/Hab'.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/beta.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "beta" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/beta.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/Hbeta.var" "Refinement_Lemma__Third_Refinement_Lemma__". +alias id "Hbeta" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Third_Refinement_Lemma/Hbeta.var". (* begin hide *) @@ -457,21 +457,21 @@ Finally, this is inequality (2.6.7) exactly as stated (same conventions as above) *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/n.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "n" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/n.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/m.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "m" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/m.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/P.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "P" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/P.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/R.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "R" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/R.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/e.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "e" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/e.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/e'.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "e'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/e'.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/He.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "He" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/He.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/He'.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "He'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/He'.var". (* begin hide *) @@ -481,25 +481,25 @@ inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/d'.con" (* end hide *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/HMeshP.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "HMeshP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/HMeshP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/HMeshR.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "HMeshR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/HMeshR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/fP.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "fP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/fP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/HfP.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "HfP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/HfP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/HfP'.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "HfP'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/HfP'.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/fR.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "fR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/fR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/HfR.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "HfR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/HfR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/HfR'.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "HfR'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/HfR'.var". (* begin show *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/Hab'.var" "Refinement_Lemma__Fourth_Refinement_Lemma__". +alias id "Hab'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Fourth_Refinement_Lemma/Hab'.var". (* end show *) @@ -515,21 +515,21 @@ Section Main_Refinement_Lemma (*#* We finish by presenting Theorem 9. *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/n.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "n" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/n.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/m.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "m" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/m.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/P.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "P" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/P.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/R.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "R" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/R.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/e.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "e" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/e.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/e'.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "e'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/e'.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/He.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "He" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/He.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/He'.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "He'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/He'.var". (* begin hide *) @@ -539,21 +539,21 @@ inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/d'.con" "R (* end hide *) -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/HMeshP.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "HMeshP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/HMeshP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/HMeshR.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "HMeshR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/HMeshR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/fP.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "fP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/fP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/HfP.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "HfP" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/HfP.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/HfP'.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "HfP'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/HfP'.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/fR.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "fR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/fR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/HfR.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "HfR" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/HfR.var". -inline "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/HfR'.var" "Refinement_Lemma__Main_Refinement_Lemma__". +alias id "HfR'" = "cic:/CoRN/ftc/RefLemma/Refinement_Lemma/Main_Refinement_Lemma/HfR'.var". inline "cic:/CoRN/ftc/RefLemma/refinement_lemma.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/RefSepRef.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/RefSepRef.ma index e44cc3d50..7a2680244 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/RefSepRef.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/RefSepRef.ma @@ -30,29 +30,29 @@ include "ftc/Partitions.ma". Section Refining_Separated *) -inline "cic:/CoRN/ftc/RefSepRef/Refining_Separated/a.var" "Refining_Separated__". +alias id "a" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/a.var". -inline "cic:/CoRN/ftc/RefSepRef/Refining_Separated/b.var" "Refining_Separated__". +alias id "b" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/b.var". -inline "cic:/CoRN/ftc/RefSepRef/Refining_Separated/Hab.var" "Refining_Separated__". +alias id "Hab" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/Hab.var". inline "cic:/CoRN/ftc/RefSepRef/Refining_Separated/I.con" "Refining_Separated__". -inline "cic:/CoRN/ftc/RefSepRef/Refining_Separated/F.var" "Refining_Separated__". +alias id "F" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/F.var". -inline "cic:/CoRN/ftc/RefSepRef/Refining_Separated/contF.var" "Refining_Separated__". +alias id "contF" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/contF.var". -inline "cic:/CoRN/ftc/RefSepRef/Refining_Separated/incF.var" "Refining_Separated__". +alias id "incF" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/incF.var". -inline "cic:/CoRN/ftc/RefSepRef/Refining_Separated/m.var" "Refining_Separated__". +alias id "m" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/m.var". -inline "cic:/CoRN/ftc/RefSepRef/Refining_Separated/n.var" "Refining_Separated__". +alias id "n" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/n.var". -inline "cic:/CoRN/ftc/RefSepRef/Refining_Separated/P.var" "Refining_Separated__". +alias id "P" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/P.var". -inline "cic:/CoRN/ftc/RefSepRef/Refining_Separated/R.var" "Refining_Separated__". +alias id "R" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/R.var". -inline "cic:/CoRN/ftc/RefSepRef/Refining_Separated/HPR.var" "Refining_Separated__". +alias id "HPR" = "cic:/CoRN/ftc/RefSepRef/Refining_Separated/HPR.var". inline "cic:/CoRN/ftc/RefSepRef/RSR_HP.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/RefSeparated.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/RefSeparated.ma index f69063ad8..5aee670ee 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/RefSeparated.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/RefSeparated.ma @@ -30,41 +30,41 @@ include "ftc/Partitions.ma". Section Separating__Separated *) -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/a.var" "Separating__Separated__". +alias id "a" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/a.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/b.var" "Separating__Separated__". +alias id "b" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/b.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hab.var" "Separating__Separated__". +alias id "Hab" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hab.var". inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/I.con" "Separating__Separated__". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/F.var" "Separating__Separated__". +alias id "F" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/F.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/contF.var" "Separating__Separated__". +alias id "contF" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/contF.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/incF.var" "Separating__Separated__". +alias id "incF" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/incF.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hab'.var" "Separating__Separated__". +alias id "Hab'" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hab'.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/m.var" "Separating__Separated__". +alias id "m" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/m.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/n.var" "Separating__Separated__". +alias id "n" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/n.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/P.var" "Separating__Separated__". +alias id "P" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/P.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/R.var" "Separating__Separated__". +alias id "R" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/R.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/HP.var" "Separating__Separated__". +alias id "HP" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/HP.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/HR.var" "Separating__Separated__". +alias id "HR" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/HR.var". inline "cic:/CoRN/ftc/RefSeparated/RS_pos_n.con". inline "cic:/CoRN/ftc/RefSeparated/RS_pos_m.con". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/alpha.var" "Separating__Separated__". +alias id "alpha" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/alpha.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Halpha.var" "Separating__Separated__". +alias id "Halpha" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Halpha.var". inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/e.con" "Separating__Separated__". @@ -78,9 +78,9 @@ inline "cic:/CoRN/ftc/RefSeparated/RS_Hd.con". inline "cic:/CoRN/ftc/RefSeparated/RS_Hd'.con". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/csi.var" "Separating__Separated__". +alias id "csi" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/csi.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hcsi.var" "Separating__Separated__". +alias id "Hcsi" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Hcsi.var". inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/M.con" "Separating__Separated__". @@ -104,9 +104,9 @@ inline "cic:/CoRN/ftc/RefSeparated/RS_delta_pos.con". Section Defining_ai' *) -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/i.var" "Separating__Separated__Defining_ai'__". +alias id "i" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/i.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hi.var" "Separating__Separated__Defining_ai'__". +alias id "Hi" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hi.var". inline "cic:/CoRN/ftc/RefSeparated/separation_conseq.con". @@ -116,9 +116,9 @@ inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/pred2.con" inline "cic:/CoRN/ftc/RefSeparated/sep__sep_aux_lemma.con". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hi0.var" "Separating__Separated__Defining_ai'__". +alias id "Hi0" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hi0.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hin.var" "Separating__Separated__Defining_ai'__". +alias id "Hin" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/Defining_ai'/Hin.var". inline "cic:/CoRN/ftc/RefSeparated/sep__sep_fun_i.con". @@ -150,9 +150,9 @@ inline "cic:/CoRN/ftc/RefSeparated/sep__sep_part.con". inline "cic:/CoRN/ftc/RefSeparated/sep__sep_lemma.con". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/g.var" "Separating__Separated__". +alias id "g" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/g.var". -inline "cic:/CoRN/ftc/RefSeparated/Separating__Separated/gP.var" "Separating__Separated__". +alias id "gP" = "cic:/CoRN/ftc/RefSeparated/Separating__Separated/gP.var". inline "cic:/CoRN/ftc/RefSeparated/sep__sep_points.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/RefSeparating.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/RefSeparating.ma index 1fc9f41f8..da18b29e9 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/RefSeparating.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/RefSeparating.ma @@ -30,33 +30,33 @@ include "ftc/Partitions.ma". Section Separating_Partition *) -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/a.var" "Separating_Partition__". +alias id "a" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/a.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/b.var" "Separating_Partition__". +alias id "b" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/b.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab.var" "Separating_Partition__". +alias id "Hab" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab.var". inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/I.con" "Separating_Partition__". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/F.var" "Separating_Partition__". +alias id "F" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/F.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/contF.var" "Separating_Partition__". +alias id "contF" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/contF.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/incF.var" "Separating_Partition__". +alias id "incF" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/incF.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab'.var" "Separating_Partition__". +alias id "Hab'" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab'.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/n.var" "Separating_Partition__". +alias id "n" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/n.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/P.var" "Separating_Partition__". +alias id "P" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/P.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/alpha.var" "Separating_Partition__". +alias id "alpha" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/alpha.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Halpha.var" "Separating_Partition__". +alias id "Halpha" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Halpha.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/csi.var" "Separating_Partition__". +alias id "csi" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/csi.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hcsi.var" "Separating_Partition__". +alias id "Hcsi" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hcsi.var". inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/M.con" "Separating_Partition__". @@ -70,7 +70,7 @@ inline "cic:/CoRN/ftc/RefSeparating/RS'_delta_pos.con". inline "cic:/CoRN/ftc/RefSeparating/RS'_delta_csi.con". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab''.var" "Separating_Partition__". +alias id "Hab''" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/Hab''.var". inline "cic:/CoRN/ftc/RefSeparating/sep__part_lemma.con". @@ -134,11 +134,11 @@ inline "cic:/CoRN/ftc/RefSeparating/sep__part_mon.con". inline "cic:/CoRN/ftc/RefSeparating/sep__part_mon_Mesh.con". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/g.var" "Separating_Partition__". +alias id "g" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/g.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/gP.var" "Separating_Partition__". +alias id "gP" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/gP.var". -inline "cic:/CoRN/ftc/RefSeparating/Separating_Partition/gP'.var" "Separating_Partition__". +alias id "gP'" = "cic:/CoRN/ftc/RefSeparating/Separating_Partition/gP'.var". inline "cic:/CoRN/ftc/RefSeparating/sep__part_pts.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/Rolle.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/Rolle.ma index 47e13105b..01273b08a 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/Rolle.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/Rolle.ma @@ -42,39 +42,39 @@ We now begin to work with partial functions. We begin by stating and proving Ro (* begin hide *) -inline "cic:/CoRN/ftc/Rolle/Rolle/a.var" "Rolle__". +alias id "a" = "cic:/CoRN/ftc/Rolle/Rolle/a.var". -inline "cic:/CoRN/ftc/Rolle/Rolle/b.var" "Rolle__". +alias id "b" = "cic:/CoRN/ftc/Rolle/Rolle/b.var". -inline "cic:/CoRN/ftc/Rolle/Rolle/Hab'.var" "Rolle__". +alias id "Hab'" = "cic:/CoRN/ftc/Rolle/Rolle/Hab'.var". inline "cic:/CoRN/ftc/Rolle/Rolle/Hab.con" "Rolle__". inline "cic:/CoRN/ftc/Rolle/Rolle/I.con" "Rolle__". -inline "cic:/CoRN/ftc/Rolle/Rolle/F.var" "Rolle__". +alias id "F" = "cic:/CoRN/ftc/Rolle/Rolle/F.var". -inline "cic:/CoRN/ftc/Rolle/Rolle/F'.var" "Rolle__". +alias id "F'" = "cic:/CoRN/ftc/Rolle/Rolle/F'.var". -inline "cic:/CoRN/ftc/Rolle/Rolle/derF.var" "Rolle__". +alias id "derF" = "cic:/CoRN/ftc/Rolle/Rolle/derF.var". -inline "cic:/CoRN/ftc/Rolle/Rolle/Ha.var" "Rolle__". +alias id "Ha" = "cic:/CoRN/ftc/Rolle/Rolle/Ha.var". -inline "cic:/CoRN/ftc/Rolle/Rolle/Hb.var" "Rolle__". +alias id "Hb" = "cic:/CoRN/ftc/Rolle/Rolle/Hb.var". (* end hide *) (* begin show *) -inline "cic:/CoRN/ftc/Rolle/Rolle/Fab.var" "Rolle__". +alias id "Fab" = "cic:/CoRN/ftc/Rolle/Rolle/Fab.var". (* end show *) (* begin hide *) -inline "cic:/CoRN/ftc/Rolle/Rolle/e.var" "Rolle__". +alias id "e" = "cic:/CoRN/ftc/Rolle/Rolle/e.var". -inline "cic:/CoRN/ftc/Rolle/Rolle/He.var" "Rolle__". +alias id "He" = "cic:/CoRN/ftc/Rolle/Rolle/He.var". inline "cic:/CoRN/ftc/Rolle/Rolle/contF'.con" "Rolle__". @@ -166,11 +166,11 @@ Section Law_of_the_Mean The following is a simple corollary: *) -inline "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/a.var" "Law_of_the_Mean__". +alias id "a" = "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/a.var". -inline "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/b.var" "Law_of_the_Mean__". +alias id "b" = "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/b.var". -inline "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/Hab'.var" "Law_of_the_Mean__". +alias id "Hab'" = "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/Hab'.var". (* begin hide *) @@ -180,17 +180,17 @@ inline "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/I.con" "Law_of_the_Mean__". (* end hide *) -inline "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/F.var" "Law_of_the_Mean__". +alias id "F" = "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/F.var". -inline "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/F'.var" "Law_of_the_Mean__". +alias id "F'" = "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/F'.var". -inline "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/HF.var" "Law_of_the_Mean__". +alias id "HF" = "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/HF.var". (* begin show *) -inline "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/HA.var" "Law_of_the_Mean__". +alias id "HA" = "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/HA.var". -inline "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/HB.var" "Law_of_the_Mean__". +alias id "HB" = "cic:/CoRN/ftc/Rolle/Law_of_the_Mean/HB.var". (* end show *) @@ -208,11 +208,11 @@ Section Corollaries We can also state these theorems without expliciting the derivative of [F]. *) -inline "cic:/CoRN/ftc/Rolle/Corollaries/a.var" "Corollaries__". +alias id "a" = "cic:/CoRN/ftc/Rolle/Corollaries/a.var". -inline "cic:/CoRN/ftc/Rolle/Corollaries/b.var" "Corollaries__". +alias id "b" = "cic:/CoRN/ftc/Rolle/Corollaries/b.var". -inline "cic:/CoRN/ftc/Rolle/Corollaries/Hab'.var" "Corollaries__". +alias id "Hab'" = "cic:/CoRN/ftc/Rolle/Corollaries/Hab'.var". (* begin hide *) @@ -220,11 +220,11 @@ inline "cic:/CoRN/ftc/Rolle/Corollaries/Hab.con" "Corollaries__". (* end hide *) -inline "cic:/CoRN/ftc/Rolle/Corollaries/F.var" "Corollaries__". +alias id "F" = "cic:/CoRN/ftc/Rolle/Corollaries/F.var". (* begin show *) -inline "cic:/CoRN/ftc/Rolle/Corollaries/HF.var" "Corollaries__". +alias id "HF" = "cic:/CoRN/ftc/Rolle/Corollaries/HF.var". (* end show *) @@ -250,17 +250,17 @@ state it also in this form. %\end{convention}% *) -inline "cic:/CoRN/ftc/Rolle/Generalizations/I.var" "Generalizations__". +alias id "I" = "cic:/CoRN/ftc/Rolle/Generalizations/I.var". -inline "cic:/CoRN/ftc/Rolle/Generalizations/pI.var" "Generalizations__". +alias id "pI" = "cic:/CoRN/ftc/Rolle/Generalizations/pI.var". -inline "cic:/CoRN/ftc/Rolle/Generalizations/F.var" "Generalizations__". +alias id "F" = "cic:/CoRN/ftc/Rolle/Generalizations/F.var". -inline "cic:/CoRN/ftc/Rolle/Generalizations/F'.var" "Generalizations__". +alias id "F'" = "cic:/CoRN/ftc/Rolle/Generalizations/F'.var". (* begin show *) -inline "cic:/CoRN/ftc/Rolle/Generalizations/derF.var" "Generalizations__". +alias id "derF" = "cic:/CoRN/ftc/Rolle/Generalizations/derF.var". (* end show *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/StrongIVT.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/StrongIVT.ma index b0f800d00..fd99ff05a 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/StrongIVT.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/StrongIVT.ma @@ -36,13 +36,13 @@ part, we will simply do that, repeating the previous construction. The same notations and conventions apply as before. *) -inline "cic:/CoRN/ftc/StrongIVT/IVT'/a.var" "IVT'__". +alias id "a" = "cic:/CoRN/ftc/StrongIVT/IVT'/a.var". -inline "cic:/CoRN/ftc/StrongIVT/IVT'/b.var" "IVT'__". +alias id "b" = "cic:/CoRN/ftc/StrongIVT/IVT'/b.var". -inline "cic:/CoRN/ftc/StrongIVT/IVT'/Hab'.var" "IVT'__". +alias id "Hab'" = "cic:/CoRN/ftc/StrongIVT/IVT'/Hab'.var". -inline "cic:/CoRN/ftc/StrongIVT/IVT'/Hab.var" "IVT'__". +alias id "Hab" = "cic:/CoRN/ftc/StrongIVT/IVT'/Hab.var". (* begin hide *) @@ -52,9 +52,9 @@ inline "cic:/CoRN/ftc/StrongIVT/IVT'/I'.con" "IVT'__". (* end hide *) -inline "cic:/CoRN/ftc/StrongIVT/IVT'/F.var" "IVT'__". +alias id "F" = "cic:/CoRN/ftc/StrongIVT/IVT'/F.var". -inline "cic:/CoRN/ftc/StrongIVT/IVT'/contF.var" "IVT'__". +alias id "contF" = "cic:/CoRN/ftc/StrongIVT/IVT'/contF.var". (* begin hide *) @@ -64,7 +64,7 @@ inline "cic:/CoRN/ftc/StrongIVT/IVT'/incF.con" "IVT'__". (* begin show *) -inline "cic:/CoRN/ftc/StrongIVT/IVT'/incrF.var" "IVT'__". +alias id "incrF" = "cic:/CoRN/ftc/StrongIVT/IVT'/incrF.var". (* end show *) @@ -80,11 +80,11 @@ inline "cic:/CoRN/ftc/StrongIVT/IVT'/HFab'.con" "IVT'__". (* begin show *) -inline "cic:/CoRN/ftc/StrongIVT/IVT'/z.var" "IVT'__". +alias id "z" = "cic:/CoRN/ftc/StrongIVT/IVT'/z.var". -inline "cic:/CoRN/ftc/StrongIVT/IVT'/Haz.var" "IVT'__". +alias id "Haz" = "cic:/CoRN/ftc/StrongIVT/IVT'/Haz.var". -inline "cic:/CoRN/ftc/StrongIVT/IVT'/Hzb.var" "IVT'__". +alias id "Hzb" = "cic:/CoRN/ftc/StrongIVT/IVT'/Hzb.var". (* end show *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/Taylor.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/Taylor.ma index 2bd2f07aa..43eefa390 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/Taylor.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/Taylor.ma @@ -39,11 +39,11 @@ The generalization to arbitrary intervals just needs a few more definitions. %\end{convention}% *) -inline "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/I.var" "More_Taylor_Defs__". +alias id "I" = "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/I.var". -inline "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/pI.var" "More_Taylor_Defs__". +alias id "pI" = "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/pI.var". -inline "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/F.var" "More_Taylor_Defs__". +alias id "F" = "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/F.var". (* begin show *) @@ -51,13 +51,13 @@ inline "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/deriv_Sn.con" "More_Taylor_Defs__" (* end show *) -inline "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/a.var" "More_Taylor_Defs__". +alias id "a" = "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/a.var". -inline "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/b.var" "More_Taylor_Defs__". +alias id "b" = "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/b.var". -inline "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/Ha.var" "More_Taylor_Defs__". +alias id "Ha" = "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/Ha.var". -inline "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/Hb.var" "More_Taylor_Defs__". +alias id "Hb" = "cic:/CoRN/ftc/Taylor/More_Taylor_Defs/Hb.var". (* begin show *) @@ -104,33 +104,33 @@ order up to [n] and [F'] be the nth-derivative of [F]. %\end{convention}% *) -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/I.var" "Taylor_Theorem__". +alias id "I" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/I.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/pI.var" "Taylor_Theorem__". +alias id "pI" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/pI.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/F.var" "Taylor_Theorem__". +alias id "F" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/F.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/n.var" "Taylor_Theorem__". +alias id "n" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/n.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/f.var" "Taylor_Theorem__". +alias id "f" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/f.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/goodF.var" "Taylor_Theorem__". +alias id "goodF" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/goodF.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/goodF'.var" "Taylor_Theorem__". +alias id "goodF'" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/goodF'.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/derF.var" "Taylor_Theorem__". +alias id "derF" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/derF.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/F'.var" "Taylor_Theorem__". +alias id "F'" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/F'.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/derF'.var" "Taylor_Theorem__". +alias id "derF'" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/derF'.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/a.var" "Taylor_Theorem__". +alias id "a" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/a.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/b.var" "Taylor_Theorem__". +alias id "b" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/b.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/Ha.var" "Taylor_Theorem__". +alias id "Ha" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/Ha.var". -inline "cic:/CoRN/ftc/Taylor/Taylor_Theorem/Hb.var" "Taylor_Theorem__". +alias id "Hb" = "cic:/CoRN/ftc/Taylor/Taylor_Theorem/Hb.var". (* begin show *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/TaylorLemma.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/TaylorLemma.ma index 29affb739..a8f1b2149 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/TaylorLemma.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/TaylorLemma.ma @@ -44,11 +44,11 @@ define the nth order derivative of [F] in the interval [[Min(a,b),Max(a,b)]]. *) -inline "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/a.var" "Taylor_Defs__". +alias id "a" = "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/a.var". -inline "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/b.var" "Taylor_Defs__". +alias id "b" = "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/b.var". -inline "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/Hap.var" "Taylor_Defs__". +alias id "Hap" = "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/Hap.var". (* begin hide *) @@ -60,11 +60,11 @@ inline "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/I.con" "Taylor_Defs__". (* end hide *) -inline "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/F.var" "Taylor_Defs__". +alias id "F" = "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/F.var". -inline "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/Ha.var" "Taylor_Defs__". +alias id "Ha" = "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/Ha.var". -inline "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/Hb.var" "Taylor_Defs__". +alias id "Hb" = "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/Hb.var". (* begin show *) @@ -288,9 +288,9 @@ Now Taylor's theorem. %\end{convention}% *) -inline "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/e.var" "Taylor_Defs__". +alias id "e" = "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/e.var". -inline "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/He.var" "Taylor_Defs__". +alias id "He" = "cic:/CoRN/ftc/TaylorLemma/Taylor_Defs/He.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/WeakIVT.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/WeakIVT.ma index e59f23e88..e22afe085 100644 --- a/helm/software/matita/contribs/CoRN-Decl/ftc/WeakIVT.ma +++ b/helm/software/matita/contribs/CoRN-Decl/ftc/WeakIVT.ma @@ -47,11 +47,11 @@ will prove them here. Section Lemma1 *) -inline "cic:/CoRN/ftc/WeakIVT/Lemma1/a.var" "Lemma1__". +alias id "a" = "cic:/CoRN/ftc/WeakIVT/Lemma1/a.var". -inline "cic:/CoRN/ftc/WeakIVT/Lemma1/b.var" "Lemma1__". +alias id "b" = "cic:/CoRN/ftc/WeakIVT/Lemma1/b.var". -inline "cic:/CoRN/ftc/WeakIVT/Lemma1/Hab.var" "Lemma1__". +alias id "Hab" = "cic:/CoRN/ftc/WeakIVT/Lemma1/Hab.var". (* begin hide *) @@ -59,9 +59,9 @@ inline "cic:/CoRN/ftc/WeakIVT/Lemma1/I.con" "Lemma1__". (* end hide *) -inline "cic:/CoRN/ftc/WeakIVT/Lemma1/F.var" "Lemma1__". +alias id "F" = "cic:/CoRN/ftc/WeakIVT/Lemma1/F.var". -inline "cic:/CoRN/ftc/WeakIVT/Lemma1/contF.var" "Lemma1__". +alias id "contF" = "cic:/CoRN/ftc/WeakIVT/Lemma1/contF.var". (*#* **First Lemmas @@ -84,11 +84,11 @@ End Lemma1 Section Lemma2 *) -inline "cic:/CoRN/ftc/WeakIVT/Lemma2/a.var" "Lemma2__". +alias id "a" = "cic:/CoRN/ftc/WeakIVT/Lemma2/a.var". -inline "cic:/CoRN/ftc/WeakIVT/Lemma2/b.var" "Lemma2__". +alias id "b" = "cic:/CoRN/ftc/WeakIVT/Lemma2/b.var". -inline "cic:/CoRN/ftc/WeakIVT/Lemma2/Hab.var" "Lemma2__". +alias id "Hab" = "cic:/CoRN/ftc/WeakIVT/Lemma2/Hab.var". (* begin hide *) @@ -96,9 +96,9 @@ inline "cic:/CoRN/ftc/WeakIVT/Lemma2/I.con" "Lemma2__". (* end hide *) -inline "cic:/CoRN/ftc/WeakIVT/Lemma2/F.var" "Lemma2__". +alias id "F" = "cic:/CoRN/ftc/WeakIVT/Lemma2/F.var". -inline "cic:/CoRN/ftc/WeakIVT/Lemma2/contF.var" "Lemma2__". +alias id "contF" = "cic:/CoRN/ftc/WeakIVT/Lemma2/contF.var". (*#* If [f(b) [<] f(a)], a similar result holds: @@ -122,13 +122,13 @@ these assumptions, we can build two sequences of values which converge to [x0] such that [f(x0) [=] z]. *) -inline "cic:/CoRN/ftc/WeakIVT/IVT/a.var" "IVT__". +alias id "a" = "cic:/CoRN/ftc/WeakIVT/IVT/a.var". -inline "cic:/CoRN/ftc/WeakIVT/IVT/b.var" "IVT__". +alias id "b" = "cic:/CoRN/ftc/WeakIVT/IVT/b.var". -inline "cic:/CoRN/ftc/WeakIVT/IVT/Hab'.var" "IVT__". +alias id "Hab'" = "cic:/CoRN/ftc/WeakIVT/IVT/Hab'.var". -inline "cic:/CoRN/ftc/WeakIVT/IVT/Hab.var" "IVT__". +alias id "Hab" = "cic:/CoRN/ftc/WeakIVT/IVT/Hab.var". (* begin hide *) @@ -136,9 +136,9 @@ inline "cic:/CoRN/ftc/WeakIVT/IVT/I.con" "IVT__". (* end hide *) -inline "cic:/CoRN/ftc/WeakIVT/IVT/F.var" "IVT__". +alias id "F" = "cic:/CoRN/ftc/WeakIVT/IVT/F.var". -inline "cic:/CoRN/ftc/WeakIVT/IVT/contF.var" "IVT__". +alias id "contF" = "cic:/CoRN/ftc/WeakIVT/IVT/contF.var". (* begin hide *) @@ -148,7 +148,7 @@ inline "cic:/CoRN/ftc/WeakIVT/IVT/incF.con" "IVT__". (* begin show *) -inline "cic:/CoRN/ftc/WeakIVT/IVT/incrF.var" "IVT__". +alias id "incrF" = "cic:/CoRN/ftc/WeakIVT/IVT/incrF.var". (* end show *) @@ -164,11 +164,11 @@ inline "cic:/CoRN/ftc/WeakIVT/IVT/HFab'.con" "IVT__". (* begin show *) -inline "cic:/CoRN/ftc/WeakIVT/IVT/z.var" "IVT__". +alias id "z" = "cic:/CoRN/ftc/WeakIVT/IVT/z.var". -inline "cic:/CoRN/ftc/WeakIVT/IVT/Haz.var" "IVT__". +alias id "Haz" = "cic:/CoRN/ftc/WeakIVT/IVT/Haz.var". -inline "cic:/CoRN/ftc/WeakIVT/IVT/Hzb.var" "IVT__". +alias id "Hzb" = "cic:/CoRN/ftc/WeakIVT/IVT/Hzb.var". (* end show *) diff --git a/helm/software/matita/contribs/CoRN-Decl/metrics/CPseudoMSpaces.ma b/helm/software/matita/contribs/CoRN-Decl/metrics/CPseudoMSpaces.ma index 93a5a663f..7b64208ff 100644 --- a/helm/software/matita/contribs/CoRN-Decl/metrics/CPseudoMSpaces.ma +++ b/helm/software/matita/contribs/CoRN-Decl/metrics/CPseudoMSpaces.ma @@ -35,9 +35,9 @@ Let [A : CSetoid], [d : (CSetoid_bin_fun A A IR)]. %\end{convention}% *) -inline "cic:/CoRN/metrics/CPseudoMSpaces/Relations/A.var" "Relations__". +alias id "A" = "cic:/CoRN/metrics/CPseudoMSpaces/Relations/A.var". -inline "cic:/CoRN/metrics/CPseudoMSpaces/Relations/d.var" "Relations__". +alias id "d" = "cic:/CoRN/metrics/CPseudoMSpaces/Relations/d.var". (* UNEXPORTED Set Implicit Arguments. @@ -111,7 +111,7 @@ Let [A] be a pseudo metric space. %\end{convention}% *) -inline "cic:/CoRN/metrics/CPseudoMSpaces/PsMS_axioms/A.var" "PsMS_axioms__". +alias id "A" = "cic:/CoRN/metrics/CPseudoMSpaces/PsMS_axioms/A.var". inline "cic:/CoRN/metrics/CPseudoMSpaces/CPsMetricSpace_is_CPsMetricSpace.con". @@ -137,7 +137,7 @@ Let [Y] be a pseudo metric space. %\end{convention}% *) -inline "cic:/CoRN/metrics/CPseudoMSpaces/PsMS_basics/Y.var" "PsMS_basics__". +alias id "Y" = "cic:/CoRN/metrics/CPseudoMSpaces/PsMS_basics/Y.var". inline "cic:/CoRN/metrics/CPseudoMSpaces/rev_tri_ineq.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/metrics/ContFunctions.ma b/helm/software/matita/contribs/CoRN-Decl/metrics/ContFunctions.ma index 3fe1765ef..504a7d7a0 100644 --- a/helm/software/matita/contribs/CoRN-Decl/metrics/ContFunctions.ma +++ b/helm/software/matita/contribs/CoRN-Decl/metrics/ContFunctions.ma @@ -32,9 +32,9 @@ Let [A] and [B] be pseudo metric spaces. %\end{convention}% *) -inline "cic:/CoRN/metrics/ContFunctions/Continuous_functions/A.var" "Continuous_functions__". +alias id "A" = "cic:/CoRN/metrics/ContFunctions/Continuous_functions/A.var". -inline "cic:/CoRN/metrics/ContFunctions/Continuous_functions/B.var" "Continuous_functions__". +alias id "B" = "cic:/CoRN/metrics/ContFunctions/Continuous_functions/B.var". (*#* We will look at some notions of continuous functions. @@ -160,9 +160,9 @@ Any constant function is Lipschitz. Hence it is uniformly continuous and continuous. *) -inline "cic:/CoRN/metrics/ContFunctions/Constant/B.var" "Constant__". +alias id "B" = "cic:/CoRN/metrics/ContFunctions/Constant/B.var". -inline "cic:/CoRN/metrics/ContFunctions/Constant/X.var" "Constant__". +alias id "X" = "cic:/CoRN/metrics/ContFunctions/Constant/X.var". inline "cic:/CoRN/metrics/ContFunctions/const_fun_is_lipschitz.con". @@ -191,15 +191,15 @@ The composition of two Lipschitz/uniformly continous/continuous functions is again Lipschitz/uniformly continuous/continuous. *) -inline "cic:/CoRN/metrics/ContFunctions/Composition/X.var" "Composition__". +alias id "X" = "cic:/CoRN/metrics/ContFunctions/Composition/X.var". -inline "cic:/CoRN/metrics/ContFunctions/Composition/B.var" "Composition__". +alias id "B" = "cic:/CoRN/metrics/ContFunctions/Composition/B.var". -inline "cic:/CoRN/metrics/ContFunctions/Composition/f.var" "Composition__". +alias id "f" = "cic:/CoRN/metrics/ContFunctions/Composition/f.var". -inline "cic:/CoRN/metrics/ContFunctions/Composition/C.var" "Composition__". +alias id "C" = "cic:/CoRN/metrics/ContFunctions/Composition/C.var". -inline "cic:/CoRN/metrics/ContFunctions/Composition/g.var" "Composition__". +alias id "g" = "cic:/CoRN/metrics/ContFunctions/Composition/g.var". inline "cic:/CoRN/metrics/ContFunctions/comp_resp_lipschitz.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/metrics/IR_CPMSpace.ma b/helm/software/matita/contribs/CoRN-Decl/metrics/IR_CPMSpace.ma index 796d75108..fd53f0838 100644 --- a/helm/software/matita/contribs/CoRN-Decl/metrics/IR_CPMSpace.ma +++ b/helm/software/matita/contribs/CoRN-Decl/metrics/IR_CPMSpace.ma @@ -63,7 +63,7 @@ inline "cic:/CoRN/metrics/IR_CPMSpace/IR_dIR_is_CPsMetricSpace.con". inline "cic:/CoRN/metrics/IR_CPMSpace/IR_as_CPsMetricSpace.con". -inline "cic:/CoRN/metrics/IR_CPMSpace/Reals/X.var" "Reals__". +alias id "X" = "cic:/CoRN/metrics/IR_CPMSpace/Reals/X.var". inline "cic:/CoRN/metrics/IR_CPMSpace/rev_tri_ineq'.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/ordine_compilazione.txt b/helm/software/matita/contribs/CoRN-Decl/ordine_compilazione.txt new file mode 100644 index 000000000..27709031b --- /dev/null +++ b/helm/software/matita/contribs/CoRN-Decl/ordine_compilazione.txt @@ -0,0 +1,157 @@ +CoRN.ma OK +algebra/ListType.ma +algebra/Basics.ma +algebra/CLogic.ma +tactics/Step.ma +algebra/CSetoids.ma +algebra/CSetoidFun.ma +algebra/CSetoidInc.ma +algebra/CSemiGroups.ma +algebra/CMonoids.ma +algebra/CGroups.ma +algebra/CAbGroups.ma +algebra/CAbMonoids.ma +algebra/CSums.ma +algebra/CRings.ma +algebra/CFields.ma +tactics/AlgReflection.ma +tactics/Opaque_algebra.ma +tactics/FieldReflection.ma +tactics/Transparent_algebra.ma +algebra/COrdFields.ma +algebra/COrdFields2.ma +algebra/COrdAbs.ma +algebra/COrdCauchy.ma +tactics/RingReflection.ma +algebra/CPolynomials.ma +algebra/CPoly_NthCoeff.ma +algebra/CPoly_Degree.ma +algebra/CPoly_ApZero.ma +algebra/CVectorSpace.ma +algebra/Cauchy_COF.ma +algebra/Expon.ma +reals/CReals.ma +reals/CauchySeq.ma +reals/Max_AbsIR.ma +reals/CReals1.ma +reals/RealFuncts.ma +reals/CPoly_Contin.ma +reals/IVT.ma +reals/OddPolyRootIR.ma +reals/NRootIR.ma +complex/CComplex.ma +complex/AbsCC.ma +reals/RealLists.ma +reals/Intervals.ma +tactics/DiffTactics1.ma +ftc/PartFunEquality.ma +reals/CSumsReals.ma +ftc/FunctSums.ma +ftc/Continuity.ma +ftc/Derivative.ma +ftc/DerivativeOps.ma +ftc/IntervalFunct.ma +ftc/PartInterval.ma +ftc/Differentiability.ma +ftc/NthDerivative.ma +ftc/MoreIntervals.ma +ftc/MoreFunctions.ma +tactics/DiffTactics2.ma +ftc/Rolle.ma +ftc/TaylorLemma.ma +ftc/Taylor.ma +ftc/Composition.ma +ftc/FunctSequence.ma +reals/Series.ma +ftc/FunctSeries.ma +ftc/MoreFunSeries.ma +tactics/DiffTactics3.ma +ftc/CalculusTheorems.ma +ftc/COrdLemmas.ma +ftc/Partitions.ma +ftc/RefSepRef.ma +ftc/RefSeparated.ma +ftc/RefSeparating.ma +ftc/RefLemma.ma +ftc/Integral.ma +ftc/MoreIntegrals.ma +ftc/FTC.ma +transc/PowerSeries.ma +transc/TaylorSeries.ma +transc/Exponential.ma +transc/Trigonometric.ma +transc/SinCos.ma +transc/Pi.ma +complex/Complex_Exponential.ma +complex/NRootCC.ma +devel/loeb/per/csetfun.ma +devel/loeb/per/lst2fun.ma +model/structures/Nsec.ma +model/setoids/Nsetoid.ma +model/semigroups/Nsemigroup.ma +model/monoids/Nmonoid.ma +model/structures/Zsec.ma +model/setoids/Zsetoid.ma +model/semigroups/Zsemigroup.ma +model/monoids/Zmonoid.ma +model/structures/Qsec.ma +model/setoids/Qsetoid.ma +devel/loeb/IDA/Ch6.ma +fta/CC_Props.ma +fta/CPoly_Contin1.ma +fta/CPoly_Rev.ma +fta/CPoly_Shift.ma +fta/KeyLemma.ma +fta/MainLemma.ma +fta/KneserLemma.ma +fta/FTAreg.ma +fta/FTA.ma +ftc/WeakIVT.ma +ftc/StrongIVT.ma +metrics/CPseudoMSpaces.ma +metrics/ContFunctions.ma +metrics/IR_CPMSpace.ma +metrics/Equiv.ma +metrics/Prod_Sub.ma +metrics/CMetricSpaces.ma +metrics/CPMSTheory.ma +model/structures/Qpossec.ma +model/setoids/Qpossetoid.ma +model/semigroups/QSpossemigroup.ma +model/monoids/QSposmonoid.ma +model/groups/QSposgroup.ma +model/abgroups/QSposabgroup.ma +model/semigroups/Qsemigroup.ma +model/monoids/Qmonoid.ma +model/groups/Qgroup.ma +model/abgroups/Qabgroup.ma +model/semigroups/Qpossemigroup.ma +model/monoids/Qposmonoid.ma +model/groups/Qposgroup.ma +model/abgroups/Qposabgroup.ma +model/groups/Zgroup.ma +model/abgroups/Zabgroup.ma +model/rings/Zring.ma +model/rings/Qring.ma +model/fields/Qfield.ma +model/structures/Npossec.ma +model/setoids/Npossetoid.ma +model/semigroups/Npossemigroup.ma +model/monoids/Nposmonoid.ma +model/non_examples/N_no_group.ma +model/non_examples/Npos_no_group.ma +model/non_examples/Npos_no_monoid.ma +model/ordfields/Qordfield.ma +reals/Cauchy_CReals.ma +model/reals/Cauchy_IR.ma +reals/Q_in_CReals.ma +reals/Q_dense.ma +reals/R_morphism.ma +reals/iso_CReals.ma +reals/Bridges_LUB.ma +reals/Bridges_iso.ma +reals/CMetricFields.ma +tactics/GroupReflection.ma +transc/RealPowers.ma +transc/TrigMon.ma +transc/InvTrigonom.ma diff --git a/helm/software/matita/contribs/CoRN-Decl/preamble.ma b/helm/software/matita/contribs/CoRN-Decl/preamble.ma new file mode 100644 index 000000000..6ea5e41b0 --- /dev/null +++ b/helm/software/matita/contribs/CoRN-Decl/preamble.ma @@ -0,0 +1,23 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +set "baseuri" "cic:/matita/CoRN-Decl/preamble". + +include "legacy/coq.ma". + +alias id "refl_equal" = "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1/1)". +alias id "False" = "cic:/Coq/Init/Logic/False.ind#xpointer(1/1)". +alias id "True" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1)". +alias id "I" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1/1)". +alias id "sym_eq" = "cic:/Coq/Init/Logic/sym_eq.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/Bridges_LUB.ma b/helm/software/matita/contribs/CoRN-Decl/reals/Bridges_LUB.ma index 9ebc96842..52059ccee 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/Bridges_LUB.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/Bridges_LUB.ma @@ -42,7 +42,7 @@ include "algebra/Expon.ma". Section LUBP *) -inline "cic:/CoRN/reals/Bridges_LUB/LUBP/R1.var" "LUBP__". +alias id "R1" = "cic:/CoRN/reals/Bridges_LUB/LUBP/R1.var". (* SUBSECTION ON GENRAL DEFINITIONS *) @@ -50,9 +50,9 @@ inline "cic:/CoRN/reals/Bridges_LUB/LUBP/R1.var" "LUBP__". Section lub_definitions *) -inline "cic:/CoRN/reals/Bridges_LUB/LUBP/lub_definitions/OF.var" "LUBP__lub_definitions__". +alias id "OF" = "cic:/CoRN/reals/Bridges_LUB/LUBP/lub_definitions/OF.var". -inline "cic:/CoRN/reals/Bridges_LUB/LUBP/lub_definitions/SS.var" "LUBP__lub_definitions__". +alias id "SS" = "cic:/CoRN/reals/Bridges_LUB/LUBP/lub_definitions/SS.var". inline "cic:/CoRN/reals/Bridges_LUB/member.con". @@ -88,13 +88,13 @@ End lub_definitions Section upper_bound_sequence *) -inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/A.var" "LUBP__upper_bound_sequence__". +alias id "A" = "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/A.var". -inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/is_inhabitted.var" "LUBP__upper_bound_sequence__". +alias id "is_inhabitted" = "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/is_inhabitted.var". -inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/bounded_above.var" "LUBP__upper_bound_sequence__". +alias id "bounded_above" = "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/bounded_above.var". -inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/located.var" "LUBP__upper_bound_sequence__". +alias id "located" = "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/located.var". inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/s.con" "LUBP__upper_bound_sequence__". diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/Bridges_iso.ma b/helm/software/matita/contribs/CoRN-Decl/reals/Bridges_iso.ma index 6c3b241e3..99cd76b71 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/Bridges_iso.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/Bridges_iso.ma @@ -44,11 +44,11 @@ inline "cic:/CoRN/reals/Bridges_iso/le_witness_informative.con". Section bridges_axioms_imply_ours *) -inline "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/OF.var" "bridges_axioms_imply_ours__". +alias id "OF" = "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/OF.var". -inline "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/lubp.var" "bridges_axioms_imply_ours__". +alias id "lubp" = "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/lubp.var". -inline "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/is_Archimedes.var" "bridges_axioms_imply_ours__". +alias id "is_Archimedes" = "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/is_Archimedes.var". inline "cic:/CoRN/reals/Bridges_iso/is_Archimedes'.con". @@ -64,7 +64,7 @@ inline "cic:/CoRN/reals/Bridges_iso/glbp.con". Section supremum *) -inline "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/supremum/P.var" "bridges_axioms_imply_ours__proofs_in_TCS__supremum__". +alias id "P" = "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/supremum/P.var". inline "cic:/CoRN/reals/Bridges_iso/inequality1.con". @@ -96,7 +96,7 @@ inline "cic:/CoRN/reals/Bridges_iso/kaf.con". inline "cic:/CoRN/reals/Bridges_iso/Pkaf.con". -inline "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/supremum/is_finite_P.var" "bridges_axioms_imply_ours__proofs_in_TCS__supremum__". +alias id "is_finite_P" = "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/supremum/is_finite_P.var". inline "cic:/CoRN/reals/Bridges_iso/card.con". @@ -112,7 +112,7 @@ inline "cic:/CoRN/reals/Bridges_iso/indeks.con". inline "cic:/CoRN/reals/Bridges_iso/Pindeks.con". -inline "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/supremum/is_onto_seq_P.var" "bridges_axioms_imply_ours__proofs_in_TCS__supremum__". +alias id "is_onto_seq_P" = "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/supremum/is_onto_seq_P.var". inline "cic:/CoRN/reals/Bridges_iso/P_is_inhabited.con". @@ -189,7 +189,7 @@ inline "cic:/CoRN/reals/Bridges_iso/bounded_quantifier_informative.con". inline "cic:/CoRN/reals/Bridges_iso/bridges_lemma1a.con". -inline "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/supremum/P_is_strongly_extensional.var" "bridges_axioms_imply_ours__proofs_in_TCS__supremum__". +alias id "P_is_strongly_extensional" = "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/supremum/P_is_strongly_extensional.var". inline "cic:/CoRN/reals/Bridges_iso/bridges_lemma1b.con". @@ -211,7 +211,7 @@ Section Every_Cauchy_Sequence_is_bounded inline "cic:/CoRN/reals/Bridges_iso/seq2set.con". -inline "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/Every_Cauchy_Sequence_is_bounded/g.var" "bridges_axioms_imply_ours__proofs_in_TCS__Every_Cauchy_Sequence_is_bounded__". +alias id "g" = "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/Every_Cauchy_Sequence_is_bounded/g.var". inline "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/Every_Cauchy_Sequence_is_bounded/g_.con" "bridges_axioms_imply_ours__proofs_in_TCS__Every_Cauchy_Sequence_is_bounded__". @@ -263,7 +263,7 @@ inline "cic:/CoRN/reals/Bridges_iso/tail_seq.con". End Every_Cauchy_Sequence_is_bounded *) -inline "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/g.var" "bridges_axioms_imply_ours__proofs_in_TCS__". +alias id "g" = "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/g.var". inline "cic:/CoRN/reals/Bridges_iso/bridges_axioms_imply_ours/proofs_in_TCS/g_.con" "bridges_axioms_imply_ours__proofs_in_TCS__". diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/CMetricFields.ma b/helm/software/matita/contribs/CoRN-Decl/reals/CMetricFields.ma index 70924e79d..db445d670 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/CMetricFields.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/CMetricFields.ma @@ -62,7 +62,7 @@ End basics Section CMetric_Field_Cauchy *) -inline "cic:/CoRN/reals/CMetricFields/CMetric_Field_Cauchy/F.var" "CMetric_Field_Cauchy__". +alias id "F" = "cic:/CoRN/reals/CMetricFields/CMetric_Field_Cauchy/F.var". (*#* %\begin{convention}% Let [F:CMetricField]. diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/CReals1.ma b/helm/software/matita/contribs/CoRN-Decl/reals/CReals1.ma index b690ee0a0..f8d973b23 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/CReals1.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/CReals1.ma @@ -77,19 +77,19 @@ Finally, for some of our results it is important to assume that [seq2] is monotonous. *) -inline "cic:/CoRN/reals/CReals1/Subsequences/seq1.var" "Subsequences__". +alias id "seq1" = "cic:/CoRN/reals/CReals1/Subsequences/seq1.var". -inline "cic:/CoRN/reals/CReals1/Subsequences/seq2.var" "Subsequences__". +alias id "seq2" = "cic:/CoRN/reals/CReals1/Subsequences/seq2.var". -inline "cic:/CoRN/reals/CReals1/Subsequences/f.var" "Subsequences__". +alias id "f" = "cic:/CoRN/reals/CReals1/Subsequences/f.var". -inline "cic:/CoRN/reals/CReals1/Subsequences/monF.var" "Subsequences__". +alias id "monF" = "cic:/CoRN/reals/CReals1/Subsequences/monF.var". -inline "cic:/CoRN/reals/CReals1/Subsequences/crescF.var" "Subsequences__". +alias id "crescF" = "cic:/CoRN/reals/CReals1/Subsequences/crescF.var". -inline "cic:/CoRN/reals/CReals1/Subsequences/subseq.var" "Subsequences__". +alias id "subseq" = "cic:/CoRN/reals/CReals1/Subsequences/subseq.var". -inline "cic:/CoRN/reals/CReals1/Subsequences/mon_seq2.var" "Subsequences__". +alias id "mon_seq2" = "cic:/CoRN/reals/CReals1/Subsequences/mon_seq2.var". inline "cic:/CoRN/reals/CReals1/unbnd_f.con". @@ -115,19 +115,19 @@ End Subsequences Section Cauchy_Subsequences *) -inline "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/seq1.var" "Cauchy_Subsequences__". +alias id "seq1" = "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/seq1.var". -inline "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/seq2.var" "Cauchy_Subsequences__". +alias id "seq2" = "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/seq2.var". -inline "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/f.var" "Cauchy_Subsequences__". +alias id "f" = "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/f.var". -inline "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/monF.var" "Cauchy_Subsequences__". +alias id "monF" = "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/monF.var". -inline "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/crescF.var" "Cauchy_Subsequences__". +alias id "crescF" = "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/crescF.var". -inline "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/subseq.var" "Cauchy_Subsequences__". +alias id "subseq" = "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/subseq.var". -inline "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/mon_seq2.var" "Cauchy_Subsequences__". +alias id "mon_seq2" = "cic:/CoRN/reals/CReals1/Cauchy_Subsequences/mon_seq2.var". inline "cic:/CoRN/reals/CReals1/Lim_seq_eq_Lim_subseq.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/CSumsReals.ma b/helm/software/matita/contribs/CoRN-Decl/reals/CSumsReals.ma index 6e691c38f..552fce459 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/CSumsReals.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/CSumsReals.ma @@ -36,7 +36,7 @@ $\Sigma_{m\leq i \leq n}~c^k = \frac{c^{n+1}-c^m}{c-1}.$ Section Sums_over_Reals *) -inline "cic:/CoRN/reals/CSumsReals/Sums_over_Reals/c.var" "Sums_over_Reals__". +alias id "c" = "cic:/CoRN/reals/CSumsReals/Sums_over_Reals/c.var". inline "cic:/CoRN/reals/CSumsReals/Sum0_c_exp.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/CauchySeq.ma b/helm/software/matita/contribs/CoRN-Decl/reals/CauchySeq.ma index 36ca57d6d..4bc6c7aa1 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/CauchySeq.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/CauchySeq.ma @@ -43,7 +43,7 @@ Definition IR : CReals := Concrete_R. Opaque IR. *) -inline "cic:/CoRN/reals/CauchySeq/IR.var". +alias id "IR" = "cic:/CoRN/reals/CauchySeq/IR.var". (* NOTATION Notation PartIR := (PartFunct IR). diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/Cauchy_CReals.ma b/helm/software/matita/contribs/CoRN-Decl/reals/Cauchy_CReals.ma index 8cbd634d0..2fb5a06c3 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/Cauchy_CReals.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/Cauchy_CReals.ma @@ -40,7 +40,7 @@ We start by showing how to inject the rational numbers in the field of Cauchy se %\end{convention}% *) -inline "cic:/CoRN/reals/Cauchy_CReals/R_CReals/F.var" "R_CReals__". +alias id "F" = "cic:/CoRN/reals/Cauchy_CReals/R_CReals/F.var". (* NOTATION Notation "'R_COrdField''" := (R_COrdField F). @@ -98,7 +98,7 @@ inline "cic:/CoRN/reals/Cauchy_CReals/R_CReals/T.con" "R_CReals__". resulting one is, too. *) -inline "cic:/CoRN/reals/Cauchy_CReals/R_CReals/F_is_archemaedian.var" "R_CReals__". +alias id "F_is_archemaedian" = "cic:/CoRN/reals/Cauchy_CReals/R_CReals/F_is_archemaedian.var". inline "cic:/CoRN/reals/Cauchy_CReals/R_is_archemaedian.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/IVT.ma b/helm/software/matita/contribs/CoRN-Decl/reals/IVT.ma index d0a71f3ec..19dacb67a 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/IVT.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/IVT.ma @@ -39,17 +39,17 @@ Section Nested_Intervals %\end{convention}% *) -inline "cic:/CoRN/reals/IVT/Nested_Intervals/a.var" "Nested_Intervals__". +alias id "a" = "cic:/CoRN/reals/IVT/Nested_Intervals/a.var". -inline "cic:/CoRN/reals/IVT/Nested_Intervals/b.var" "Nested_Intervals__". +alias id "b" = "cic:/CoRN/reals/IVT/Nested_Intervals/b.var". -inline "cic:/CoRN/reals/IVT/Nested_Intervals/a_mon.var" "Nested_Intervals__". +alias id "a_mon" = "cic:/CoRN/reals/IVT/Nested_Intervals/a_mon.var". -inline "cic:/CoRN/reals/IVT/Nested_Intervals/b_mon.var" "Nested_Intervals__". +alias id "b_mon" = "cic:/CoRN/reals/IVT/Nested_Intervals/b_mon.var". -inline "cic:/CoRN/reals/IVT/Nested_Intervals/a_b.var" "Nested_Intervals__". +alias id "a_b" = "cic:/CoRN/reals/IVT/Nested_Intervals/a_b.var". -inline "cic:/CoRN/reals/IVT/Nested_Intervals/b_a.var" "Nested_Intervals__". +alias id "b_a" = "cic:/CoRN/reals/IVT/Nested_Intervals/b_a.var". inline "cic:/CoRN/reals/IVT/a_mon'.con". @@ -71,9 +71,9 @@ inline "cic:/CoRN/reals/IVT/Cnested_intervals_limit.con". %\end{convention}% *) -inline "cic:/CoRN/reals/IVT/Nested_Intervals/f.var" "Nested_Intervals__". +alias id "f" = "cic:/CoRN/reals/IVT/Nested_Intervals/f.var". -inline "cic:/CoRN/reals/IVT/Nested_Intervals/f_contin.var" "Nested_Intervals__". +alias id "f_contin" = "cic:/CoRN/reals/IVT/Nested_Intervals/f_contin.var". inline "cic:/CoRN/reals/IVT/f_contin_pos.con". @@ -81,9 +81,9 @@ inline "cic:/CoRN/reals/IVT/f_contin_neg.con". (*#* Assume also that [forall i, f (a i) [<=] Zero [<=] f (b i)]. *) -inline "cic:/CoRN/reals/IVT/Nested_Intervals/f_a.var" "Nested_Intervals__". +alias id "f_a" = "cic:/CoRN/reals/IVT/Nested_Intervals/f_a.var". -inline "cic:/CoRN/reals/IVT/Nested_Intervals/f_b.var" "Nested_Intervals__". +alias id "f_b" = "cic:/CoRN/reals/IVT/Nested_Intervals/f_b.var". inline "cic:/CoRN/reals/IVT/Cnested_intervals_zero.con". @@ -97,19 +97,19 @@ Section Bisection (*#* ** Bissections *) -inline "cic:/CoRN/reals/IVT/Bisection/f.var" "Bisection__". +alias id "f" = "cic:/CoRN/reals/IVT/Bisection/f.var". -inline "cic:/CoRN/reals/IVT/Bisection/f_apzero_interval.var" "Bisection__". +alias id "f_apzero_interval" = "cic:/CoRN/reals/IVT/Bisection/f_apzero_interval.var". -inline "cic:/CoRN/reals/IVT/Bisection/a.var" "Bisection__". +alias id "a" = "cic:/CoRN/reals/IVT/Bisection/a.var". -inline "cic:/CoRN/reals/IVT/Bisection/b.var" "Bisection__". +alias id "b" = "cic:/CoRN/reals/IVT/Bisection/b.var". -inline "cic:/CoRN/reals/IVT/Bisection/a_b.var" "Bisection__". +alias id "a_b" = "cic:/CoRN/reals/IVT/Bisection/a_b.var". -inline "cic:/CoRN/reals/IVT/Bisection/f_a.var" "Bisection__". +alias id "f_a" = "cic:/CoRN/reals/IVT/Bisection/f_a.var". -inline "cic:/CoRN/reals/IVT/Bisection/f_b.var" "Bisection__". +alias id "f_b" = "cic:/CoRN/reals/IVT/Bisection/f_b.var". (*#* %\begin{convention}% Let [Small] denote [Two[/]ThreeNZ], [lft] be [(Two[*]a[+]b) [/]ThreeNZ] and [rht] be [(a[+]Two[*]b) [/]ThreeNZ]. @@ -150,9 +150,9 @@ End Bisection Section Bisect_Interval *) -inline "cic:/CoRN/reals/IVT/Bisect_Interval/f.var" "Bisect_Interval__". +alias id "f" = "cic:/CoRN/reals/IVT/Bisect_Interval/f.var". -inline "cic:/CoRN/reals/IVT/Bisect_Interval/C_f_apzero_interval.var" "Bisect_Interval__". +alias id "C_f_apzero_interval" = "cic:/CoRN/reals/IVT/Bisect_Interval/C_f_apzero_interval.var". (* begin hide *) @@ -180,21 +180,21 @@ Section IVT_Op Same conventions as before. *) -inline "cic:/CoRN/reals/IVT/IVT_Op/f.var" "IVT_Op__". +alias id "f" = "cic:/CoRN/reals/IVT/IVT_Op/f.var". -inline "cic:/CoRN/reals/IVT/IVT_Op/f_contin.var" "IVT_Op__". +alias id "f_contin" = "cic:/CoRN/reals/IVT/IVT_Op/f_contin.var". -inline "cic:/CoRN/reals/IVT/IVT_Op/f_apzero_interval.var" "IVT_Op__". +alias id "f_apzero_interval" = "cic:/CoRN/reals/IVT/IVT_Op/f_apzero_interval.var". -inline "cic:/CoRN/reals/IVT/IVT_Op/a.var" "IVT_Op__". +alias id "a" = "cic:/CoRN/reals/IVT/IVT_Op/a.var". -inline "cic:/CoRN/reals/IVT/IVT_Op/b.var" "IVT_Op__". +alias id "b" = "cic:/CoRN/reals/IVT/IVT_Op/b.var". -inline "cic:/CoRN/reals/IVT/IVT_Op/a_b.var" "IVT_Op__". +alias id "a_b" = "cic:/CoRN/reals/IVT/IVT_Op/a_b.var". -inline "cic:/CoRN/reals/IVT/IVT_Op/f_a.var" "IVT_Op__". +alias id "f_a" = "cic:/CoRN/reals/IVT/IVT_Op/f_a.var". -inline "cic:/CoRN/reals/IVT/IVT_Op/f_b.var" "IVT_Op__". +alias id "f_b" = "cic:/CoRN/reals/IVT/IVT_Op/f_b.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/Intervals.ma b/helm/software/matita/contribs/CoRN-Decl/reals/Intervals.ma index 630801a2a..356ae30a1 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/Intervals.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/Intervals.ma @@ -49,11 +49,11 @@ As expected, both [a] and [b] are members of [[a,b]]. Also they are members of the interval [[Min(a,b),Max(a,b)]]. *) -inline "cic:/CoRN/reals/Intervals/Intervals/a.var" "Intervals__". +alias id "a" = "cic:/CoRN/reals/Intervals/Intervals/a.var". -inline "cic:/CoRN/reals/Intervals/Intervals/b.var" "Intervals__". +alias id "b" = "cic:/CoRN/reals/Intervals/Intervals/b.var". -inline "cic:/CoRN/reals/Intervals/Intervals/Hab.var" "Intervals__". +alias id "Hab" = "cic:/CoRN/reals/Intervals/Intervals/Hab.var". inline "cic:/CoRN/reals/Intervals/compact_inc_lft.con". @@ -227,11 +227,11 @@ a positive real number. %\end{convention}% *) -inline "cic:/CoRN/reals/Intervals/Compact/a.var" "Compact__". +alias id "a" = "cic:/CoRN/reals/Intervals/Compact/a.var". -inline "cic:/CoRN/reals/Intervals/Compact/b.var" "Compact__". +alias id "b" = "cic:/CoRN/reals/Intervals/Compact/b.var". -inline "cic:/CoRN/reals/Intervals/Compact/Hab.var" "Compact__". +alias id "Hab" = "cic:/CoRN/reals/Intervals/Compact/Hab.var". (* begin hide *) @@ -239,11 +239,11 @@ inline "cic:/CoRN/reals/Intervals/Compact/I.con" "Compact__". (* end hide *) -inline "cic:/CoRN/reals/Intervals/Compact/Hab'.var" "Compact__". +alias id "Hab'" = "cic:/CoRN/reals/Intervals/Compact/Hab'.var". -inline "cic:/CoRN/reals/Intervals/Compact/e.var" "Compact__". +alias id "e" = "cic:/CoRN/reals/Intervals/Compact/e.var". -inline "cic:/CoRN/reals/Intervals/Compact/He.var" "Compact__". +alias id "He" = "cic:/CoRN/reals/Intervals/Compact/He.var". (*#* We start by finding a natural number [n] such that [(b[-]a) [/] n [<] e]. diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/Max_AbsIR.ma b/helm/software/matita/contribs/CoRN-Decl/reals/Max_AbsIR.ma index 6c3b89c8d..de927363f 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/Max_AbsIR.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/Max_AbsIR.ma @@ -42,9 +42,9 @@ Let [x] and [y] be reals %\end{convention}% *) -inline "cic:/CoRN/reals/Max_AbsIR/Maximum/Max_function/x.var" "Maximum__Max_function__". +alias id "x" = "cic:/CoRN/reals/Max_AbsIR/Maximum/Max_function/x.var". -inline "cic:/CoRN/reals/Max_AbsIR/Maximum/Max_function/y.var" "Maximum__Max_function__". +alias id "y" = "cic:/CoRN/reals/Max_AbsIR/Maximum/Max_function/y.var". inline "cic:/CoRN/reals/Max_AbsIR/Max_seq.con". @@ -178,9 +178,9 @@ inline "cic:/CoRN/reals/Max_AbsIR/Min_is_lft_imp_leEq.con". inline "cic:/CoRN/reals/Max_AbsIR/leEq_Min_plus_eps.con". -inline "cic:/CoRN/reals/Max_AbsIR/Minimum/a.var" "Minimum__". +alias id "a" = "cic:/CoRN/reals/Max_AbsIR/Minimum/a.var". -inline "cic:/CoRN/reals/Max_AbsIR/Minimum/b.var" "Minimum__". +alias id "b" = "cic:/CoRN/reals/Max_AbsIR/Minimum/b.var". inline "cic:/CoRN/reals/Max_AbsIR/Min_leEq_Max.con". @@ -291,9 +291,9 @@ Let [F,G:PartIR] and denote by [P] and [Q] their respective domains. %\end{convention}% *) -inline "cic:/CoRN/reals/Max_AbsIR/Part_Function_Max/F.var" "Part_Function_Max__". +alias id "F" = "cic:/CoRN/reals/Max_AbsIR/Part_Function_Max/F.var". -inline "cic:/CoRN/reals/Max_AbsIR/Part_Function_Max/G.var" "Part_Function_Max__". +alias id "G" = "cic:/CoRN/reals/Max_AbsIR/Part_Function_Max/G.var". (* begin hide *) @@ -315,9 +315,9 @@ End Part_Function_Max Section Part_Function_Abs *) -inline "cic:/CoRN/reals/Max_AbsIR/Part_Function_Abs/F.var" "Part_Function_Abs__". +alias id "F" = "cic:/CoRN/reals/Max_AbsIR/Part_Function_Abs/F.var". -inline "cic:/CoRN/reals/Max_AbsIR/Part_Function_Abs/G.var" "Part_Function_Abs__". +alias id "G" = "cic:/CoRN/reals/Max_AbsIR/Part_Function_Abs/G.var". (* begin hide *) @@ -363,9 +363,9 @@ Hint Resolve FAbs_char': algebra. Section Inclusion *) -inline "cic:/CoRN/reals/Max_AbsIR/Inclusion/F.var" "Inclusion__". +alias id "F" = "cic:/CoRN/reals/Max_AbsIR/Inclusion/F.var". -inline "cic:/CoRN/reals/Max_AbsIR/Inclusion/G.var" "Inclusion__". +alias id "G" = "cic:/CoRN/reals/Max_AbsIR/Inclusion/G.var". (* begin hide *) @@ -380,7 +380,7 @@ inline "cic:/CoRN/reals/Max_AbsIR/Inclusion/Q.con" "Inclusion__". %\end{convention}% *) -inline "cic:/CoRN/reals/Max_AbsIR/Inclusion/R.var" "Inclusion__". +alias id "R" = "cic:/CoRN/reals/Max_AbsIR/Inclusion/R.var". inline "cic:/CoRN/reals/Max_AbsIR/included_FMax.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/NRootIR.ma b/helm/software/matita/contribs/CoRN-Decl/reals/NRootIR.ma index c27fc2556..0f976d765 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/NRootIR.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/NRootIR.ma @@ -39,13 +39,13 @@ Section NRoot %\end{convention}% *) -inline "cic:/CoRN/reals/NRootIR/NRoot/n.var" "NRoot__". +alias id "n" = "cic:/CoRN/reals/NRootIR/NRoot/n.var". -inline "cic:/CoRN/reals/NRootIR/NRoot/n_pos.var" "NRoot__". +alias id "n_pos" = "cic:/CoRN/reals/NRootIR/NRoot/n_pos.var". -inline "cic:/CoRN/reals/NRootIR/NRoot/c.var" "NRoot__". +alias id "c" = "cic:/CoRN/reals/NRootIR/NRoot/c.var". -inline "cic:/CoRN/reals/NRootIR/NRoot/c_nonneg.var" "NRoot__". +alias id "c_nonneg" = "cic:/CoRN/reals/NRootIR/NRoot/c_nonneg.var". (* begin hide *) @@ -100,13 +100,13 @@ inline "cic:/CoRN/reals/NRootIR/NRoot_cancel.con". (*#* %\begin{convention}% Let [x,y] be nonnegative real numbers. %\end{convention}% *) -inline "cic:/CoRN/reals/NRootIR/Nth_Root/x.var" "Nth_Root__". +alias id "x" = "cic:/CoRN/reals/NRootIR/Nth_Root/x.var". -inline "cic:/CoRN/reals/NRootIR/Nth_Root/y.var" "Nth_Root__". +alias id "y" = "cic:/CoRN/reals/NRootIR/Nth_Root/y.var". -inline "cic:/CoRN/reals/NRootIR/Nth_Root/Hx.var" "Nth_Root__". +alias id "Hx" = "cic:/CoRN/reals/NRootIR/Nth_Root/Hx.var". -inline "cic:/CoRN/reals/NRootIR/Nth_Root/Hy.var" "Nth_Root__". +alias id "Hy" = "cic:/CoRN/reals/NRootIR/Nth_Root/Hy.var". inline "cic:/CoRN/reals/NRootIR/NRoot_wd.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/OddPolyRootIR.ma b/helm/software/matita/contribs/CoRN-Decl/reals/OddPolyRootIR.ma index 5631b9ac4..ebcef6dac 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/OddPolyRootIR.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/OddPolyRootIR.ma @@ -33,7 +33,7 @@ Section CPoly_Big %\end{convention}% *) -inline "cic:/CoRN/reals/OddPolyRootIR/CPoly_Big/R.var" "CPoly_Big__". +alias id "R" = "cic:/CoRN/reals/OddPolyRootIR/CPoly_Big/R.var". (* begin hide *) @@ -62,7 +62,7 @@ Section Flip_Poly %\end{convention}% *) -inline "cic:/CoRN/reals/OddPolyRootIR/Flip_Poly/R.var" "Flip_Poly__". +alias id "R" = "cic:/CoRN/reals/OddPolyRootIR/Flip_Poly/R.var". (* begin hide *) @@ -99,7 +99,7 @@ Section OddPoly_Signs %\end{convention}% *) -inline "cic:/CoRN/reals/OddPolyRootIR/OddPoly_Signs/R.var" "OddPoly_Signs__". +alias id "R" = "cic:/CoRN/reals/OddPolyRootIR/OddPoly_Signs/R.var". (* begin hide *) @@ -127,7 +127,7 @@ this field. %\end{convention}% *) -inline "cic:/CoRN/reals/OddPolyRootIR/Poly_Norm/R.var" "Poly_Norm__". +alias id "R" = "cic:/CoRN/reals/OddPolyRootIR/Poly_Norm/R.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/Q_dense.ma b/helm/software/matita/contribs/CoRN-Decl/reals/Q_dense.ma index a5ce0fcda..2b12a73bc 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/Q_dense.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/Q_dense.ma @@ -30,7 +30,7 @@ inline "cic:/CoRN/reals/Q_dense/or_not_and.con". Section Interval_definition *) -inline "cic:/CoRN/reals/Q_dense/Interval_definition/OF.var" "Interval_definition__". +alias id "OF" = "cic:/CoRN/reals/Q_dense/Interval_definition/OF.var". inline "cic:/CoRN/reals/Q_dense/Interval.ind". @@ -63,7 +63,7 @@ Qed. Section COrdField_extra *) -inline "cic:/CoRN/reals/Q_dense/COrdField_extra/OF.var" "COrdField_extra__". +alias id "OF" = "cic:/CoRN/reals/Q_dense/COrdField_extra/OF.var". inline "cic:/CoRN/reals/Q_dense/AbsSmall_pos_reflexive.con". @@ -83,7 +83,7 @@ include "tactics/Opaque_algebra.ma". (*#*** WARNING: A file is being loaded *****) -inline "cic:/CoRN/reals/Q_dense/Rational_sequence/R1.var" "Rational_sequence__". +alias id "R1" = "cic:/CoRN/reals/Q_dense/Rational_sequence/R1.var". inline "cic:/CoRN/reals/Q_dense/start_l.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/Q_in_CReals.ma b/helm/software/matita/contribs/CoRN-Decl/reals/Q_in_CReals.ma index 1a7f26cf1..0a4f30216 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/Q_in_CReals.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/Q_in_CReals.ma @@ -43,7 +43,7 @@ Section Rational_sequence_prelogue %\end{convention}% *) -inline "cic:/CoRN/reals/Q_in_CReals/Rational_sequence_prelogue/R1.var" "Rational_sequence_prelogue__". +alias id "R1" = "cic:/CoRN/reals/Q_in_CReals/Rational_sequence_prelogue/R1.var". (* We clone these proofs from CReals1.v just because there IR is an axiom *) diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/R_morphism.ma b/helm/software/matita/contribs/CoRN-Decl/reals/R_morphism.ma index d11235f39..5ce1b103c 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/R_morphism.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/R_morphism.ma @@ -34,27 +34,27 @@ inline "cic:/CoRN/reals/R_morphism/Cauchy_Lim_prop2.con". Section morphism *) -inline "cic:/CoRN/reals/R_morphism/morphism/R1.var" "morphism__". +alias id "R1" = "cic:/CoRN/reals/R_morphism/morphism/R1.var". -inline "cic:/CoRN/reals/R_morphism/morphism/R2.var" "morphism__". +alias id "R2" = "cic:/CoRN/reals/R_morphism/morphism/R2.var". (* UNEXPORTED Section morphism_details *) -inline "cic:/CoRN/reals/R_morphism/morphism/morphism_details/phi.var" "morphism__morphism_details__". +alias id "phi" = "cic:/CoRN/reals/R_morphism/morphism/morphism_details/phi.var". -inline "cic:/CoRN/reals/R_morphism/morphism/morphism_details/p1.var" "morphism__morphism_details__". +alias id "p1" = "cic:/CoRN/reals/R_morphism/morphism/morphism_details/p1.var". -inline "cic:/CoRN/reals/R_morphism/morphism/morphism_details/p2.var" "morphism__morphism_details__". +alias id "p2" = "cic:/CoRN/reals/R_morphism/morphism/morphism_details/p2.var". -inline "cic:/CoRN/reals/R_morphism/morphism/morphism_details/f1.var" "morphism__morphism_details__". +alias id "f1" = "cic:/CoRN/reals/R_morphism/morphism/morphism_details/f1.var". -inline "cic:/CoRN/reals/R_morphism/morphism/morphism_details/f2.var" "morphism__morphism_details__". +alias id "f2" = "cic:/CoRN/reals/R_morphism/morphism/morphism_details/f2.var". -inline "cic:/CoRN/reals/R_morphism/morphism/morphism_details/g1.var" "morphism__morphism_details__". +alias id "g1" = "cic:/CoRN/reals/R_morphism/morphism/morphism_details/g1.var". -inline "cic:/CoRN/reals/R_morphism/morphism/morphism_details/g2.var" "morphism__morphism_details__". +alias id "g2" = "cic:/CoRN/reals/R_morphism/morphism/morphism_details/g2.var". inline "cic:/CoRN/reals/R_morphism/fun_pres_relation.con". @@ -128,15 +128,15 @@ End morphism Section composition *) -inline "cic:/CoRN/reals/R_morphism/composition/R1.var" "composition__". +alias id "R1" = "cic:/CoRN/reals/R_morphism/composition/R1.var". -inline "cic:/CoRN/reals/R_morphism/composition/R2.var" "composition__". +alias id "R2" = "cic:/CoRN/reals/R_morphism/composition/R2.var". -inline "cic:/CoRN/reals/R_morphism/composition/R3.var" "composition__". +alias id "R3" = "cic:/CoRN/reals/R_morphism/composition/R3.var". -inline "cic:/CoRN/reals/R_morphism/composition/f.var" "composition__". +alias id "f" = "cic:/CoRN/reals/R_morphism/composition/f.var". -inline "cic:/CoRN/reals/R_morphism/composition/g.var" "composition__". +alias id "g" = "cic:/CoRN/reals/R_morphism/composition/g.var". inline "cic:/CoRN/reals/R_morphism/compose.con". @@ -160,17 +160,17 @@ End composition Section isomorphism *) -inline "cic:/CoRN/reals/R_morphism/isomorphism/R1.var" "isomorphism__". +alias id "R1" = "cic:/CoRN/reals/R_morphism/isomorphism/R1.var". -inline "cic:/CoRN/reals/R_morphism/isomorphism/R2.var" "isomorphism__". +alias id "R2" = "cic:/CoRN/reals/R_morphism/isomorphism/R2.var". (* UNEXPORTED Section identity_map *) -inline "cic:/CoRN/reals/R_morphism/isomorphism/identity_map/R3.var" "isomorphism__identity_map__". +alias id "R3" = "cic:/CoRN/reals/R_morphism/isomorphism/identity_map/R3.var". -inline "cic:/CoRN/reals/R_morphism/isomorphism/identity_map/f.var" "isomorphism__identity_map__". +alias id "f" = "cic:/CoRN/reals/R_morphism/isomorphism/identity_map/f.var". inline "cic:/CoRN/reals/R_morphism/map_is_id.con". @@ -188,11 +188,11 @@ End isomorphism Section surjective_map *) -inline "cic:/CoRN/reals/R_morphism/surjective_map/R1.var" "surjective_map__". +alias id "R1" = "cic:/CoRN/reals/R_morphism/surjective_map/R1.var". -inline "cic:/CoRN/reals/R_morphism/surjective_map/R2.var" "surjective_map__". +alias id "R2" = "cic:/CoRN/reals/R_morphism/surjective_map/R2.var". -inline "cic:/CoRN/reals/R_morphism/surjective_map/f.var" "surjective_map__". +alias id "f" = "cic:/CoRN/reals/R_morphism/surjective_map/f.var". inline "cic:/CoRN/reals/R_morphism/map_is_surjective.con". @@ -204,13 +204,13 @@ End surjective_map Section simplification *) -inline "cic:/CoRN/reals/R_morphism/simplification/R1.var" "simplification__". +alias id "R1" = "cic:/CoRN/reals/R_morphism/simplification/R1.var". -inline "cic:/CoRN/reals/R_morphism/simplification/R2.var" "simplification__". +alias id "R2" = "cic:/CoRN/reals/R_morphism/simplification/R2.var". -inline "cic:/CoRN/reals/R_morphism/simplification/f.var" "simplification__". +alias id "f" = "cic:/CoRN/reals/R_morphism/simplification/f.var". -inline "cic:/CoRN/reals/R_morphism/simplification/H1.var" "simplification__". +alias id "H1" = "cic:/CoRN/reals/R_morphism/simplification/H1.var". inline "cic:/CoRN/reals/R_morphism/f_well_def.con". @@ -218,7 +218,7 @@ inline "cic:/CoRN/reals/R_morphism/f_well_def.con". Section with_less *) -inline "cic:/CoRN/reals/R_morphism/simplification/with_less/H2.var" "simplification__with_less__". +alias id "H2" = "cic:/CoRN/reals/R_morphism/simplification/with_less/H2.var". inline "cic:/CoRN/reals/R_morphism/less_pres_f.con". @@ -236,7 +236,7 @@ End with_less Section with_plus *) -inline "cic:/CoRN/reals/R_morphism/simplification/with_plus/H3.var" "simplification__with_plus__". +alias id "H3" = "cic:/CoRN/reals/R_morphism/simplification/with_plus/H3.var". inline "cic:/CoRN/reals/R_morphism/f_pres_Zero.con". @@ -252,9 +252,9 @@ End with_plus Section with_plus_less *) -inline "cic:/CoRN/reals/R_morphism/simplification/with_plus_less/H2.var" "simplification__with_plus_less__". +alias id "H2" = "cic:/CoRN/reals/R_morphism/simplification/with_plus_less/H2.var". -inline "cic:/CoRN/reals/R_morphism/simplification/with_plus_less/H3.var" "simplification__with_plus_less__". +alias id "H3" = "cic:/CoRN/reals/R_morphism/simplification/with_plus_less/H3.var". inline "cic:/CoRN/reals/R_morphism/f_pres_ap_zero.con". @@ -262,7 +262,7 @@ inline "cic:/CoRN/reals/R_morphism/f_pres_ap_zero.con". Section surjectivity_helps *) -inline "cic:/CoRN/reals/R_morphism/simplification/with_plus_less/surjectivity_helps/f_surj.var" "simplification__with_plus_less__surjectivity_helps__". +alias id "f_surj" = "cic:/CoRN/reals/R_morphism/simplification/with_plus_less/surjectivity_helps/f_surj.var". inline "cic:/CoRN/reals/R_morphism/f_pres_Lim.con". @@ -274,7 +274,7 @@ End surjectivity_helps Section with_mult_plus_less *) -inline "cic:/CoRN/reals/R_morphism/simplification/with_plus_less/with_mult_plus_less/H4.var" "simplification__with_plus_less__with_mult_plus_less__". +alias id "H4" = "cic:/CoRN/reals/R_morphism/simplification/with_plus_less/with_mult_plus_less/H4.var". inline "cic:/CoRN/reals/R_morphism/f_pres_one.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/RealFuncts.ma b/helm/software/matita/contribs/CoRN-Decl/reals/RealFuncts.ma index e2414af0c..aa6ba337e 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/RealFuncts.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/RealFuncts.ma @@ -41,9 +41,9 @@ Unset Strict Implicit. Section Continuity *) -inline "cic:/CoRN/reals/RealFuncts/Continuity/f.var" "Continuity__". +alias id "f" = "cic:/CoRN/reals/RealFuncts/Continuity/f.var". -inline "cic:/CoRN/reals/RealFuncts/Continuity/f2.var" "Continuity__". +alias id "f2" = "cic:/CoRN/reals/RealFuncts/Continuity/f2.var". (*#* Let [f] be a unary setoid operation on [IR] and diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/Series.ma b/helm/software/matita/contribs/CoRN-Decl/reals/Series.ma index 3a90759c0..40315e117 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/Series.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/Series.ma @@ -45,7 +45,7 @@ To each such sequence we can assign a sequence of partial sums. %\end{convention}% *) -inline "cic:/CoRN/reals/Series/Definitions/x.var" "Definitions__". +alias id "x" = "cic:/CoRN/reals/Series/Definitions/x.var". inline "cic:/CoRN/reals/Series/seq_part_sum.con". @@ -99,7 +99,7 @@ End Definitions Section More_Definitions *) -inline "cic:/CoRN/reals/Series/More_Definitions/x.var" "More_Definitions__". +alias id "x" = "cic:/CoRN/reals/Series/More_Definitions/x.var". (*#* We also define absolute convergence. *) @@ -129,11 +129,11 @@ we can also compute its sum. %\end{convention}% *) -inline "cic:/CoRN/reals/Series/Power_Series/c.var" "Power_Series__". +alias id "c" = "cic:/CoRN/reals/Series/Power_Series/c.var". -inline "cic:/CoRN/reals/Series/Power_Series/H0c.var" "Power_Series__". +alias id "H0c" = "cic:/CoRN/reals/Series/Power_Series/H0c.var". -inline "cic:/CoRN/reals/Series/Power_Series/Hc1.var" "Power_Series__". +alias id "Hc1" = "cic:/CoRN/reals/Series/Power_Series/Hc1.var". inline "cic:/CoRN/reals/Series/c_exp_Lim.con". @@ -168,13 +168,13 @@ of two convergent series. %\end{convention}% *) -inline "cic:/CoRN/reals/Series/Operations/x.var" "Operations__". +alias id "x" = "cic:/CoRN/reals/Series/Operations/x.var". -inline "cic:/CoRN/reals/Series/Operations/y.var" "Operations__". +alias id "y" = "cic:/CoRN/reals/Series/Operations/y.var". -inline "cic:/CoRN/reals/Series/Operations/convX.var" "Operations__". +alias id "convX" = "cic:/CoRN/reals/Series/Operations/convX.var". -inline "cic:/CoRN/reals/Series/Operations/convY.var" "Operations__". +alias id "convY" = "cic:/CoRN/reals/Series/Operations/convY.var". inline "cic:/CoRN/reals/Series/convergent_wd.con". @@ -190,7 +190,7 @@ inline "cic:/CoRN/reals/Series/series_sum_minus.con". (*#* Multiplication by a scalar [c] is also permitted. *) -inline "cic:/CoRN/reals/Series/Operations/c.var" "Operations__". +alias id "c" = "cic:/CoRN/reals/Series/Operations/c.var". inline "cic:/CoRN/reals/Series/conv_series_mult_scal.con". @@ -204,9 +204,9 @@ End Operations Section More_Operations *) -inline "cic:/CoRN/reals/Series/More_Operations/x.var" "More_Operations__". +alias id "x" = "cic:/CoRN/reals/Series/More_Operations/x.var". -inline "cic:/CoRN/reals/Series/More_Operations/convX.var" "More_Operations__". +alias id "convX" = "cic:/CoRN/reals/Series/More_Operations/convX.var". (*#* As a corollary, we get the series of the inverses. *) @@ -230,13 +230,13 @@ and derive an important corollary for series. Let [x,y : nat->IR] be equal after some natural number. *) -inline "cic:/CoRN/reals/Series/Almost_Everywhere/x.var" "Almost_Everywhere__". +alias id "x" = "cic:/CoRN/reals/Series/Almost_Everywhere/x.var". -inline "cic:/CoRN/reals/Series/Almost_Everywhere/y.var" "Almost_Everywhere__". +alias id "y" = "cic:/CoRN/reals/Series/Almost_Everywhere/y.var". inline "cic:/CoRN/reals/Series/aew_eq.con". -inline "cic:/CoRN/reals/Series/Almost_Everywhere/aew_equal.var" "Almost_Everywhere__". +alias id "aew_equal" = "cic:/CoRN/reals/Series/Almost_Everywhere/aew_equal.var". inline "cic:/CoRN/reals/Series/aew_Cauchy.con". @@ -254,11 +254,11 @@ Section Cauchy_Almost_Everywhere (*#* Suppose furthermore that [x,y] are Cauchy sequences. *) -inline "cic:/CoRN/reals/Series/Cauchy_Almost_Everywhere/x.var" "Cauchy_Almost_Everywhere__". +alias id "x" = "cic:/CoRN/reals/Series/Cauchy_Almost_Everywhere/x.var". -inline "cic:/CoRN/reals/Series/Cauchy_Almost_Everywhere/y.var" "Cauchy_Almost_Everywhere__". +alias id "y" = "cic:/CoRN/reals/Series/Cauchy_Almost_Everywhere/y.var". -inline "cic:/CoRN/reals/Series/Cauchy_Almost_Everywhere/aew_equal.var" "Cauchy_Almost_Everywhere__". +alias id "aew_equal" = "cic:/CoRN/reals/Series/Cauchy_Almost_Everywhere/aew_equal.var". inline "cic:/CoRN/reals/Series/aew_Lim.con". @@ -276,7 +276,7 @@ Section Convergence_Criteria %\end{convention}% *) -inline "cic:/CoRN/reals/Series/Convergence_Criteria/x.var" "Convergence_Criteria__". +alias id "x" = "cic:/CoRN/reals/Series/Convergence_Criteria/x.var". (*#* We include the comparison test for series, both in a strong and in a less general (but simpler) form. @@ -306,7 +306,7 @@ End Convergence_Criteria Section More_CC *) -inline "cic:/CoRN/reals/Series/More_CC/x.var" "More_CC__". +alias id "x" = "cic:/CoRN/reals/Series/More_CC/x.var". inline "cic:/CoRN/reals/Series/ratio_test_conv.con". @@ -326,13 +326,13 @@ Alternate series are a special case. Suppose that [x] is nonnegative and decreasing convergent to 0. *) -inline "cic:/CoRN/reals/Series/Alternate_Series/x.var" "Alternate_Series__". +alias id "x" = "cic:/CoRN/reals/Series/Alternate_Series/x.var". -inline "cic:/CoRN/reals/Series/Alternate_Series/pos_x.var" "Alternate_Series__". +alias id "pos_x" = "cic:/CoRN/reals/Series/Alternate_Series/pos_x.var". -inline "cic:/CoRN/reals/Series/Alternate_Series/Lim_x.var" "Alternate_Series__". +alias id "Lim_x" = "cic:/CoRN/reals/Series/Alternate_Series/Lim_x.var". -inline "cic:/CoRN/reals/Series/Alternate_Series/mon_x.var" "Alternate_Series__". +alias id "mon_x" = "cic:/CoRN/reals/Series/Alternate_Series/mon_x.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/reals/iso_CReals.ma b/helm/software/matita/contribs/CoRN-Decl/reals/iso_CReals.ma index c7e115dd9..40fc12b20 100644 --- a/helm/software/matita/contribs/CoRN-Decl/reals/iso_CReals.ma +++ b/helm/software/matita/contribs/CoRN-Decl/reals/iso_CReals.ma @@ -61,9 +61,9 @@ inline "cic:/CoRN/reals/iso_CReals/G_pres_mult.con". Section Concrete_iso_between_Creals *) -inline "cic:/CoRN/reals/iso_CReals/Concrete_iso_between_Creals/R1.var" "Concrete_iso_between_Creals__". +alias id "R1" = "cic:/CoRN/reals/iso_CReals/Concrete_iso_between_Creals/R1.var". -inline "cic:/CoRN/reals/iso_CReals/Concrete_iso_between_Creals/R2.var" "Concrete_iso_between_Creals__". +alias id "R2" = "cic:/CoRN/reals/iso_CReals/Concrete_iso_between_Creals/R2.var". inline "cic:/CoRN/reals/iso_CReals/image_Cauchy12.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/tactics/DiffTactics2.ma b/helm/software/matita/contribs/CoRN-Decl/tactics/DiffTactics2.ma index 8b2fa6832..6a3212bf9 100644 --- a/helm/software/matita/contribs/CoRN-Decl/tactics/DiffTactics2.ma +++ b/helm/software/matita/contribs/CoRN-Decl/tactics/DiffTactics2.ma @@ -28,9 +28,9 @@ include "ftc/Differentiability.ma". Section Automatizing_Continuity *) -inline "cic:/CoRN/tactics/DiffTactics2/Automatizing_Continuity/a.var" "Automatizing_Continuity__". +alias id "a" = "cic:/CoRN/tactics/DiffTactics2/Automatizing_Continuity/a.var". -inline "cic:/CoRN/tactics/DiffTactics2/Automatizing_Continuity/b.var" "Automatizing_Continuity__". +alias id "b" = "cic:/CoRN/tactics/DiffTactics2/Automatizing_Continuity/b.var". inline "cic:/CoRN/tactics/DiffTactics2/cont_function.ind". @@ -98,9 +98,9 @@ Ltac New_Contin := Section Automatizing_Derivatives *) -inline "cic:/CoRN/tactics/DiffTactics2/Automatizing_Derivatives/a.var" "Automatizing_Derivatives__". +alias id "a" = "cic:/CoRN/tactics/DiffTactics2/Automatizing_Derivatives/a.var". -inline "cic:/CoRN/tactics/DiffTactics2/Automatizing_Derivatives/b.var" "Automatizing_Derivatives__". +alias id "b" = "cic:/CoRN/tactics/DiffTactics2/Automatizing_Derivatives/b.var". inline "cic:/CoRN/tactics/DiffTactics2/deriv_function.ind". diff --git a/helm/software/matita/contribs/CoRN-Decl/tactics/FieldReflection.ma b/helm/software/matita/contribs/CoRN-Decl/tactics/FieldReflection.ma index 459f7d132..a3041e0e6 100644 --- a/helm/software/matita/contribs/CoRN-Decl/tactics/FieldReflection.ma +++ b/helm/software/matita/contribs/CoRN-Decl/tactics/FieldReflection.ma @@ -30,15 +30,15 @@ include "tactics/AlgReflection.ma". Section Field_Interpretation_Function *) -inline "cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/F.var" "Field_Interpretation_Function__". +alias id "F" = "cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/F.var". -inline "cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/val.var" "Field_Interpretation_Function__". +alias id "val" = "cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/val.var". -inline "cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/unop.var" "Field_Interpretation_Function__". +alias id "unop" = "cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/unop.var". -inline "cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/binop.var" "Field_Interpretation_Function__". +alias id "binop" = "cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/binop.var". -inline "cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/pfun.var" "Field_Interpretation_Function__". +alias id "pfun" = "cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/pfun.var". inline "cic:/CoRN/tactics/FieldReflection/interpF.ind". @@ -86,15 +86,15 @@ End Field_Interpretation_Function Section Field_NormCorrect *) -inline "cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/F.var" "Field_NormCorrect__". +alias id "F" = "cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/F.var". -inline "cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/val.var" "Field_NormCorrect__". +alias id "val" = "cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/val.var". -inline "cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/unop.var" "Field_NormCorrect__". +alias id "unop" = "cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/unop.var". -inline "cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/binop.var" "Field_NormCorrect__". +alias id "binop" = "cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/binop.var". -inline "cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/pfun.var" "Field_NormCorrect__". +alias id "pfun" = "cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/pfun.var". (* NOTATION Notation II := (interpF F val unop binop pfun). diff --git a/helm/software/matita/contribs/CoRN-Decl/tactics/GroupReflection.ma b/helm/software/matita/contribs/CoRN-Decl/tactics/GroupReflection.ma index c314cc089..e47a4cf2e 100644 --- a/helm/software/matita/contribs/CoRN-Decl/tactics/GroupReflection.ma +++ b/helm/software/matita/contribs/CoRN-Decl/tactics/GroupReflection.ma @@ -30,15 +30,15 @@ include "tactics/AlgReflection.ma". Section Group_Interpretation_Function *) -inline "cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/G.var" "Group_Interpretation_Function__". +alias id "G" = "cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/G.var". -inline "cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/val.var" "Group_Interpretation_Function__". +alias id "val" = "cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/val.var". -inline "cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/unop.var" "Group_Interpretation_Function__". +alias id "unop" = "cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/unop.var". -inline "cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/binop.var" "Group_Interpretation_Function__". +alias id "binop" = "cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/binop.var". -inline "cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/pfun.var" "Group_Interpretation_Function__". +alias id "pfun" = "cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/pfun.var". inline "cic:/CoRN/tactics/GroupReflection/interpG.ind". @@ -136,15 +136,15 @@ End Group_Interpretation_Function Section Group_NormCorrect *) -inline "cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/G.var" "Group_NormCorrect__". +alias id "G" = "cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/G.var". -inline "cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/val.var" "Group_NormCorrect__". +alias id "val" = "cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/val.var". -inline "cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/unop.var" "Group_NormCorrect__". +alias id "unop" = "cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/unop.var". -inline "cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/binop.var" "Group_NormCorrect__". +alias id "binop" = "cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/binop.var". -inline "cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/pfun.var" "Group_NormCorrect__". +alias id "pfun" = "cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/pfun.var". (* NOTATION Notation II := (interpG G val unop binop pfun). diff --git a/helm/software/matita/contribs/CoRN-Decl/tactics/RingReflection.ma b/helm/software/matita/contribs/CoRN-Decl/tactics/RingReflection.ma index 74f7b0be3..84a076ad9 100644 --- a/helm/software/matita/contribs/CoRN-Decl/tactics/RingReflection.ma +++ b/helm/software/matita/contribs/CoRN-Decl/tactics/RingReflection.ma @@ -30,15 +30,15 @@ include "tactics/AlgReflection.ma". Section Ring_Interpretation_Function *) -inline "cic:/CoRN/tactics/RingReflection/Ring_Interpretation_Function/R.var" "Ring_Interpretation_Function__". +alias id "R" = "cic:/CoRN/tactics/RingReflection/Ring_Interpretation_Function/R.var". -inline "cic:/CoRN/tactics/RingReflection/Ring_Interpretation_Function/val.var" "Ring_Interpretation_Function__". +alias id "val" = "cic:/CoRN/tactics/RingReflection/Ring_Interpretation_Function/val.var". -inline "cic:/CoRN/tactics/RingReflection/Ring_Interpretation_Function/unop.var" "Ring_Interpretation_Function__". +alias id "unop" = "cic:/CoRN/tactics/RingReflection/Ring_Interpretation_Function/unop.var". -inline "cic:/CoRN/tactics/RingReflection/Ring_Interpretation_Function/binop.var" "Ring_Interpretation_Function__". +alias id "binop" = "cic:/CoRN/tactics/RingReflection/Ring_Interpretation_Function/binop.var". -inline "cic:/CoRN/tactics/RingReflection/Ring_Interpretation_Function/pfun.var" "Ring_Interpretation_Function__". +alias id "pfun" = "cic:/CoRN/tactics/RingReflection/Ring_Interpretation_Function/pfun.var". inline "cic:/CoRN/tactics/RingReflection/interpR.ind". @@ -152,15 +152,15 @@ End Ring_Interpretation_Function Section Ring_NormCorrect *) -inline "cic:/CoRN/tactics/RingReflection/Ring_NormCorrect/R.var" "Ring_NormCorrect__". +alias id "R" = "cic:/CoRN/tactics/RingReflection/Ring_NormCorrect/R.var". -inline "cic:/CoRN/tactics/RingReflection/Ring_NormCorrect/val.var" "Ring_NormCorrect__". +alias id "val" = "cic:/CoRN/tactics/RingReflection/Ring_NormCorrect/val.var". -inline "cic:/CoRN/tactics/RingReflection/Ring_NormCorrect/unop.var" "Ring_NormCorrect__". +alias id "unop" = "cic:/CoRN/tactics/RingReflection/Ring_NormCorrect/unop.var". -inline "cic:/CoRN/tactics/RingReflection/Ring_NormCorrect/binop.var" "Ring_NormCorrect__". +alias id "binop" = "cic:/CoRN/tactics/RingReflection/Ring_NormCorrect/binop.var". -inline "cic:/CoRN/tactics/RingReflection/Ring_NormCorrect/pfun.var" "Ring_NormCorrect__". +alias id "pfun" = "cic:/CoRN/tactics/RingReflection/Ring_NormCorrect/pfun.var". (* NOTATION Notation II := (interpR R val unop binop pfun). diff --git a/helm/software/matita/contribs/CoRN-Decl/transc/InvTrigonom.ma b/helm/software/matita/contribs/CoRN-Decl/transc/InvTrigonom.ma index 5296d75cb..73a386b02 100644 --- a/helm/software/matita/contribs/CoRN-Decl/transc/InvTrigonom.ma +++ b/helm/software/matita/contribs/CoRN-Decl/transc/InvTrigonom.ma @@ -206,7 +206,7 @@ Transparent Cos. Section ArcTan_Range *) -inline "cic:/CoRN/transc/InvTrigonom/Inverses/ArcTan_Range/x.var" "Inverses__ArcTan_Range__". +alias id "x" = "cic:/CoRN/transc/InvTrigonom/Inverses/ArcTan_Range/x.var". (* begin hide *) diff --git a/helm/software/matita/contribs/CoRN-Decl/transc/PowerSeries.ma b/helm/software/matita/contribs/CoRN-Decl/transc/PowerSeries.ma index ab927ca4e..2bb43ffc2 100644 --- a/helm/software/matita/contribs/CoRN-Decl/transc/PowerSeries.ma +++ b/helm/software/matita/contribs/CoRN-Decl/transc/PowerSeries.ma @@ -50,13 +50,13 @@ Let [a : nat -> IR]. %\end{convention}% *) -inline "cic:/CoRN/transc/PowerSeries/Power_Series/J.var" "Power_Series__". +alias id "J" = "cic:/CoRN/transc/PowerSeries/Power_Series/J.var". -inline "cic:/CoRN/transc/PowerSeries/Power_Series/x0.var" "Power_Series__". +alias id "x0" = "cic:/CoRN/transc/PowerSeries/Power_Series/x0.var". -inline "cic:/CoRN/transc/PowerSeries/Power_Series/Hx0.var" "Power_Series__". +alias id "Hx0" = "cic:/CoRN/transc/PowerSeries/Power_Series/Hx0.var". -inline "cic:/CoRN/transc/PowerSeries/Power_Series/a.var" "Power_Series__". +alias id "a" = "cic:/CoRN/transc/PowerSeries/Power_Series/a.var". inline "cic:/CoRN/transc/PowerSeries/FPowerSeries.con". @@ -67,7 +67,7 @@ is the Dirichlet criterium. (* begin show *) -inline "cic:/CoRN/transc/PowerSeries/Power_Series/Ha.var" "Power_Series__". +alias id "Ha" = "cic:/CoRN/transc/PowerSeries/Power_Series/Ha.var". inline "cic:/CoRN/transc/PowerSeries/Power_Series/r.con" "Power_Series__". @@ -93,7 +93,7 @@ inline "cic:/CoRN/transc/PowerSeries/included_FPowerSeries'.con". (* begin show *) -inline "cic:/CoRN/transc/PowerSeries/Power_Series/Ha'.var" "Power_Series__". +alias id "Ha'" = "cic:/CoRN/transc/PowerSeries/Power_Series/Ha'.var". (* end show *) @@ -119,9 +119,9 @@ respectively by [a] and by [fun n => (a (S n))]. %\end{convention}% *) -inline "cic:/CoRN/transc/PowerSeries/More_on_PowerSeries/x0.var" "More_on_PowerSeries__". +alias id "x0" = "cic:/CoRN/transc/PowerSeries/More_on_PowerSeries/x0.var". -inline "cic:/CoRN/transc/PowerSeries/More_on_PowerSeries/a.var" "More_on_PowerSeries__". +alias id "a" = "cic:/CoRN/transc/PowerSeries/More_on_PowerSeries/a.var". (* begin hide *) @@ -133,11 +133,11 @@ inline "cic:/CoRN/transc/PowerSeries/More_on_PowerSeries/G.con" "More_on_PowerSe (* begin show *) -inline "cic:/CoRN/transc/PowerSeries/More_on_PowerSeries/Hf.var" "More_on_PowerSeries__". +alias id "Hf" = "cic:/CoRN/transc/PowerSeries/More_on_PowerSeries/Hf.var". -inline "cic:/CoRN/transc/PowerSeries/More_on_PowerSeries/Hf'.var" "More_on_PowerSeries__". +alias id "Hf'" = "cic:/CoRN/transc/PowerSeries/More_on_PowerSeries/Hf'.var". -inline "cic:/CoRN/transc/PowerSeries/More_on_PowerSeries/Hg.var" "More_on_PowerSeries__". +alias id "Hg" = "cic:/CoRN/transc/PowerSeries/More_on_PowerSeries/Hg.var". (* end show *) diff --git a/helm/software/matita/contribs/CoRN-Decl/transc/RealPowers.ma b/helm/software/matita/contribs/CoRN-Decl/transc/RealPowers.ma index 7e8950fee..fd081416a 100644 --- a/helm/software/matita/contribs/CoRN-Decl/transc/RealPowers.ma +++ b/helm/software/matita/contribs/CoRN-Decl/transc/RealPowers.ma @@ -141,11 +141,11 @@ on partial functions which preserves continuity. %\end{convention}% *) -inline "cic:/CoRN/transc/RealPowers/Power_Function/J.var" "Power_Function__". +alias id "J" = "cic:/CoRN/transc/RealPowers/Power_Function/J.var". -inline "cic:/CoRN/transc/RealPowers/Power_Function/F.var" "Power_Function__". +alias id "F" = "cic:/CoRN/transc/RealPowers/Power_Function/F.var". -inline "cic:/CoRN/transc/RealPowers/Power_Function/G.var" "Power_Function__". +alias id "G" = "cic:/CoRN/transc/RealPowers/Power_Function/G.var". inline "cic:/CoRN/transc/RealPowers/FPower.con". diff --git a/helm/software/matita/contribs/CoRN-Decl/transc/TaylorSeries.ma b/helm/software/matita/contribs/CoRN-Decl/transc/TaylorSeries.ma index 89153db18..7e00f92c8 100644 --- a/helm/software/matita/contribs/CoRN-Decl/transc/TaylorSeries.ma +++ b/helm/software/matita/contribs/CoRN-Decl/transc/TaylorSeries.ma @@ -43,17 +43,17 @@ point of [J]. Section Definitions *) -inline "cic:/CoRN/transc/TaylorSeries/Definitions/J.var" "Definitions__". +alias id "J" = "cic:/CoRN/transc/TaylorSeries/Definitions/J.var". -inline "cic:/CoRN/transc/TaylorSeries/Definitions/pJ.var" "Definitions__". +alias id "pJ" = "cic:/CoRN/transc/TaylorSeries/Definitions/pJ.var". -inline "cic:/CoRN/transc/TaylorSeries/Definitions/F.var" "Definitions__". +alias id "F" = "cic:/CoRN/transc/TaylorSeries/Definitions/F.var". -inline "cic:/CoRN/transc/TaylorSeries/Definitions/diffF.var" "Definitions__". +alias id "diffF" = "cic:/CoRN/transc/TaylorSeries/Definitions/diffF.var". -inline "cic:/CoRN/transc/TaylorSeries/Definitions/a.var" "Definitions__". +alias id "a" = "cic:/CoRN/transc/TaylorSeries/Definitions/a.var". -inline "cic:/CoRN/transc/TaylorSeries/Definitions/Ha.var" "Definitions__". +alias id "Ha" = "cic:/CoRN/transc/TaylorSeries/Definitions/Ha.var". inline "cic:/CoRN/transc/TaylorSeries/Taylor_Series'.con". @@ -63,9 +63,9 @@ derivatives of [F]. %\end{convention}% *) -inline "cic:/CoRN/transc/TaylorSeries/Definitions/f.var" "Definitions__". +alias id "f" = "cic:/CoRN/transc/TaylorSeries/Definitions/f.var". -inline "cic:/CoRN/transc/TaylorSeries/Definitions/derF.var" "Definitions__". +alias id "derF" = "cic:/CoRN/transc/TaylorSeries/Definitions/derF.var". inline "cic:/CoRN/transc/TaylorSeries/Taylor_Series.con". @@ -95,17 +95,17 @@ derivatives of [F] that guarantees convergence of its Taylor series to [F]. *) -inline "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/H.var" "Convergence_in_IR__". +alias id "H" = "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/H.var". -inline "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/F.var" "Convergence_in_IR__". +alias id "F" = "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/F.var". -inline "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/a.var" "Convergence_in_IR__". +alias id "a" = "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/a.var". -inline "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/Ha.var" "Convergence_in_IR__". +alias id "Ha" = "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/Ha.var". -inline "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/f.var" "Convergence_in_IR__". +alias id "f" = "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/f.var". -inline "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/derF.var" "Convergence_in_IR__". +alias id "derF" = "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/derF.var". inline "cic:/CoRN/transc/TaylorSeries/Taylor_Series_imp_cont.con". @@ -115,7 +115,7 @@ inline "cic:/CoRN/transc/TaylorSeries/Taylor_bnd.con". (* begin show *) -inline "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/bndf.var" "Convergence_in_IR__". +alias id "bndf" = "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/bndf.var". (* end show *) @@ -173,7 +173,7 @@ will separately assume convergence. (* begin show *) -inline "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/Hf.var" "Convergence_in_IR__". +alias id "Hf" = "cic:/CoRN/transc/TaylorSeries/Convergence_in_IR/Hf.var". (* end show *) @@ -220,27 +220,27 @@ provided that their derivatives coincide at a given point and their Taylor series converge to themselves. *) -inline "cic:/CoRN/transc/TaylorSeries/Other_Results/F.var" "Other_Results__". +alias id "F" = "cic:/CoRN/transc/TaylorSeries/Other_Results/F.var". -inline "cic:/CoRN/transc/TaylorSeries/Other_Results/G.var" "Other_Results__". +alias id "G" = "cic:/CoRN/transc/TaylorSeries/Other_Results/G.var". -inline "cic:/CoRN/transc/TaylorSeries/Other_Results/a.var" "Other_Results__". +alias id "a" = "cic:/CoRN/transc/TaylorSeries/Other_Results/a.var". -inline "cic:/CoRN/transc/TaylorSeries/Other_Results/f.var" "Other_Results__". +alias id "f" = "cic:/CoRN/transc/TaylorSeries/Other_Results/f.var". -inline "cic:/CoRN/transc/TaylorSeries/Other_Results/g.var" "Other_Results__". +alias id "g" = "cic:/CoRN/transc/TaylorSeries/Other_Results/g.var". -inline "cic:/CoRN/transc/TaylorSeries/Other_Results/derF.var" "Other_Results__". +alias id "derF" = "cic:/CoRN/transc/TaylorSeries/Other_Results/derF.var". -inline "cic:/CoRN/transc/TaylorSeries/Other_Results/derG.var" "Other_Results__". +alias id "derG" = "cic:/CoRN/transc/TaylorSeries/Other_Results/derG.var". -inline "cic:/CoRN/transc/TaylorSeries/Other_Results/bndf.var" "Other_Results__". +alias id "bndf" = "cic:/CoRN/transc/TaylorSeries/Other_Results/bndf.var". -inline "cic:/CoRN/transc/TaylorSeries/Other_Results/bndg.var" "Other_Results__". +alias id "bndg" = "cic:/CoRN/transc/TaylorSeries/Other_Results/bndg.var". (* begin show *) -inline "cic:/CoRN/transc/TaylorSeries/Other_Results/Heq.var" "Other_Results__". +alias id "Heq" = "cic:/CoRN/transc/TaylorSeries/Other_Results/Heq.var". (* end show *) diff --git a/helm/software/matita/contribs/Makefile b/helm/software/matita/contribs/Makefile new file mode 100644 index 000000000..8dc8c4626 --- /dev/null +++ b/helm/software/matita/contribs/Makefile @@ -0,0 +1,10 @@ +GOALS = all opt clean clean.opt + +DEVELS = ../library RELATIONAL LAMBDA-TYPES + +$(GOALS): + @$(foreach DEVEL, $(DEVELS), $(MAKE) -C $(DEVEL) $@;) + +.PHONY: (GOALS) + +.SUFFIXES: diff --git a/helm/software/matita/contribs/prova.ma b/helm/software/matita/contribs/prova.ma index 5a486b6e4..67c4b1ebf 100644 --- a/helm/software/matita/contribs/prova.ma +++ b/helm/software/matita/contribs/prova.ma @@ -14,14 +14,5 @@ set "baseuri" "cic:/matita/tests". -include "nat/nat.ma". - -theorem pippo: \forall (P,Q,R:nat \to Prop). - \forall x,y. x=y \to P x \to Q x \to R x. - intros. - rewrite > P in Q. -(* -theorem pippo: \forall (P,Q,R:nat \to Prop). - \forall x,y. x=y \to P x \to Q x \to R x. - intros. rewrite > H in y. -*) +inline procedural + "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/pr0/props/pr0_subst0.con". -- 2.39.2