X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Falgebra%2FCMonoids.ma;h=d7a0d53abed640005e58420a37721db9e1af4787;hb=fdda444a05fe4c68c925cd94e4e3a38c93d0c35f;hp=2d93e16510ed3d24d24efe91906290be95f94767;hpb=3199f2a8428b5d19a3a803c1b03d9f90e4120f74;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/CMonoids.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/CMonoids.ma index 2d93e1651..d7a0d53ab 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/CMonoids.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/CMonoids.ma @@ -16,13 +16,13 @@ set "baseuri" "cic:/matita/CoRN-Decl/algebra/CMonoids". +include "CoRN.ma". + (* $Id: CMonoids.v,v 1.3 2004/04/07 15:07:57 lcf Exp $ *) (*#* printing Zero %\ensuremath{\mathbf0}% #0# *) -(* INCLUDE -CSemiGroups -*) +include "algebra/CSemiGroups.ma". (* Begin_SpecReals *) @@ -31,11 +31,11 @@ CSemiGroups ** Definition of monoids *) -inline cic:/CoRN/algebra/CMonoids/is_rht_unit.con. +inline "cic:/CoRN/algebra/CMonoids/is_rht_unit.con". (* End_SpecReals *) -inline cic:/CoRN/algebra/CMonoids/is_lft_unit.con. +inline "cic:/CoRN/algebra/CMonoids/is_lft_unit.con". (* UNEXPORTED Implicit Arguments is_lft_unit [S]. @@ -47,9 +47,11 @@ Implicit Arguments is_lft_unit [S]. Implicit Arguments is_rht_unit [S]. *) -inline cic:/CoRN/algebra/CMonoids/is_CMonoid.ind. +inline "cic:/CoRN/algebra/CMonoids/is_CMonoid.ind". + +inline "cic:/CoRN/algebra/CMonoids/CMonoid.ind". -inline cic:/CoRN/algebra/CMonoids/CMonoid.ind. +coercion cic:/matita/CoRN-Decl/algebra/CMonoids/cm_crr.con 0 (* compounds *). (*#* %\begin{nameconvention}% @@ -68,7 +70,11 @@ In lemmas we will continue to write [x [#] Zero], rather than e.g. for the setoid of non-zeros. *) -inline cic:/CoRN/algebra/CMonoids/nonZeroP.con. +(* NOTATION +Notation Zero := (cm_unit _). +*) + +inline "cic:/CoRN/algebra/CMonoids/nonZeroP.con". (* End_SpecReals *) @@ -83,19 +89,19 @@ Implicit Arguments nonZeroP [M]. *) (* UNEXPORTED -Section CMonoid_axioms. +Section CMonoid_axioms *) -inline cic:/CoRN/algebra/CMonoids/M.var. +alias id "M" = "cic:/CoRN/algebra/CMonoids/CMonoid_axioms/M.var". -inline cic:/CoRN/algebra/CMonoids/CMonoid_is_CMonoid.con. +inline "cic:/CoRN/algebra/CMonoids/CMonoid_is_CMonoid.con". -inline cic:/CoRN/algebra/CMonoids/cm_rht_unit.con. +inline "cic:/CoRN/algebra/CMonoids/cm_rht_unit.con". -inline cic:/CoRN/algebra/CMonoids/cm_lft_unit.con. +inline "cic:/CoRN/algebra/CMonoids/cm_lft_unit.con". (* UNEXPORTED -End CMonoid_axioms. +End CMonoid_axioms *) (*#* @@ -105,22 +111,22 @@ End CMonoid_axioms. *) (* UNEXPORTED -Section CMonoid_basics. +Section CMonoid_basics *) -inline cic:/CoRN/algebra/CMonoids/M.var. +alias id "M" = "cic:/CoRN/algebra/CMonoids/CMonoid_basics/M.var". -inline cic:/CoRN/algebra/CMonoids/cm_rht_unit_unfolded.con. +inline "cic:/CoRN/algebra/CMonoids/cm_rht_unit_unfolded.con". -inline cic:/CoRN/algebra/CMonoids/cm_lft_unit_unfolded.con. +inline "cic:/CoRN/algebra/CMonoids/cm_lft_unit_unfolded.con". (* UNEXPORTED Hint Resolve cm_rht_unit_unfolded cm_lft_unit_unfolded: algebra. *) -inline cic:/CoRN/algebra/CMonoids/cm_unit_unique_lft.con. +inline "cic:/CoRN/algebra/CMonoids/cm_unit_unique_lft.con". -inline cic:/CoRN/algebra/CMonoids/cm_unit_unique_rht.con. +inline "cic:/CoRN/algebra/CMonoids/cm_unit_unique_rht.con". (* Begin_SpecReals *) @@ -128,7 +134,7 @@ inline cic:/CoRN/algebra/CMonoids/cm_unit_unique_rht.con. The proof component of the monoid is irrelevant. *) -inline cic:/CoRN/algebra/CMonoids/is_CMonoid_proof_irr.con. +inline "cic:/CoRN/algebra/CMonoids/is_CMonoid_proof_irr.con". (* End_SpecReals *) @@ -140,27 +146,27 @@ Let [P] a predicate on [M] containing [Zero] and closed under [[+]]. *) (* UNEXPORTED -Section SubCMonoids. +Section SubCMonoids *) -inline cic:/CoRN/algebra/CMonoids/P.var. +alias id "P" = "cic:/CoRN/algebra/CMonoids/CMonoid_basics/SubCMonoids/P.var". -inline cic:/CoRN/algebra/CMonoids/Punit.var. +alias id "Punit" = "cic:/CoRN/algebra/CMonoids/CMonoid_basics/SubCMonoids/Punit.var". -inline cic:/CoRN/algebra/CMonoids/op_pres_P.var. +alias id "op_pres_P" = "cic:/CoRN/algebra/CMonoids/CMonoid_basics/SubCMonoids/op_pres_P.var". -inline cic:/CoRN/algebra/CMonoids/subcrr.con. +inline "cic:/CoRN/algebra/CMonoids/CMonoid_basics/SubCMonoids/subcrr.con" "CMonoid_basics__SubCMonoids__". -inline cic:/CoRN/algebra/CMonoids/ismon_scrr.con. +inline "cic:/CoRN/algebra/CMonoids/ismon_scrr.con". -inline cic:/CoRN/algebra/CMonoids/Build_SubCMonoid.con. +inline "cic:/CoRN/algebra/CMonoids/Build_SubCMonoid.con". (* UNEXPORTED -End SubCMonoids. +End SubCMonoids *) (* UNEXPORTED -End CMonoid_basics. +End CMonoid_basics *) (* UNEXPORTED