X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Falgebra%2FCOrdFields.ma;h=cb6476676c55a1c0cbd2aaf1f4d37fe88d19f37b;hb=f2d9db85559c7a8db11aae1153495fae4a258d54;hp=dd9b0c82dc419900b9e0164429140d804f086a76;hpb=876f16ec4e9080bad4e39bd9c203d6529dcf4f56;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/algebra/COrdFields.ma b/helm/software/matita/contribs/CoRN-Decl/algebra/COrdFields.ma index dd9b0c82d..cb6476676 100644 --- a/helm/software/matita/contribs/CoRN-Decl/algebra/COrdFields.ma +++ b/helm/software/matita/contribs/CoRN-Decl/algebra/COrdFields.ma @@ -134,7 +134,7 @@ Infix "[<=]" := leEq (at level 70, no associativity). *) (* UNEXPORTED -Section COrdField_axioms. +Section COrdField_axioms *) (*#* @@ -144,7 +144,7 @@ Let [F] be a field. %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdFields/F.var". +alias id "F" = "cic:/CoRN/algebra/COrdFields/COrdField_axioms/F.var". inline "cic:/CoRN/algebra/COrdFields/COrdField_is_COrdField.con". @@ -169,7 +169,7 @@ inline "cic:/CoRN/algebra/COrdFields/less_wdr.con". inline "cic:/CoRN/algebra/COrdFields/less_wdl.con". (* UNEXPORTED -End COrdField_axioms. +End COrdField_axioms *) (* UNEXPORTED @@ -181,7 +181,7 @@ Declare Right Step less_wdr. *) (* UNEXPORTED -Section OrdField_basics. +Section OrdField_basics *) (*#* @@ -195,7 +195,7 @@ Let in the rest of this section (and all subsections) %\end{convention}% *) -inline "cic:/CoRN/algebra/COrdFields/R.var". +alias id "R" = "cic:/CoRN/algebra/COrdFields/OrdField_basics/R.var". inline "cic:/CoRN/algebra/COrdFields/less_imp_ap.con". @@ -218,13 +218,13 @@ inline "cic:/CoRN/algebra/COrdFields/pos_ap_zero.con". inline "cic:/CoRN/algebra/COrdFields/leEq_not_eq.con". (* UNEXPORTED -End OrdField_basics. +End OrdField_basics *) (*#**********************************) (* UNEXPORTED -Section Basic_Properties_of_leEq. +Section Basic_Properties_of_leEq *) (*#**********************************) @@ -232,7 +232,7 @@ Section Basic_Properties_of_leEq. (*#* ** Basic properties of [ [<=] ] *) -inline "cic:/CoRN/algebra/COrdFields/R.var". +alias id "R" = "cic:/CoRN/algebra/COrdFields/Basic_Properties_of_leEq/R.var". inline "cic:/CoRN/algebra/COrdFields/leEq_wdr.con". @@ -263,7 +263,7 @@ inline "cic:/CoRN/algebra/COrdFields/leEq_transitive.con". inline "cic:/CoRN/algebra/COrdFields/less_leEq.con". (* UNEXPORTED -End Basic_Properties_of_leEq. +End Basic_Properties_of_leEq *) (* UNEXPORTED @@ -275,7 +275,7 @@ Declare Right Step leEq_wdr. *) (* UNEXPORTED -Section infinity_of_cordfields. +Section infinity_of_cordfields *) (*#* @@ -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/R.var". +alias id "R" = "cic:/CoRN/algebra/COrdFields/infinity_of_cordfields/R.var". inline "cic:/CoRN/algebra/COrdFields/pos_one.con". @@ -319,7 +319,7 @@ inline "cic:/CoRN/algebra/COrdFields/nring_fac_ap_zero.con". include "tactics/Opaque_algebra.ma". (* UNEXPORTED -Section up_to_four. +Section up_to_four *) (*#* @@ -361,11 +361,11 @@ inline "cic:/CoRN/algebra/COrdFields/three_ap_zero.con". inline "cic:/CoRN/algebra/COrdFields/four_ap_zero.con". (* UNEXPORTED -End up_to_four. +End up_to_four *) (* UNEXPORTED -Section More_than_four. +Section More_than_four *) (*#* *** Properties of some other numbers *) @@ -403,11 +403,11 @@ inline "cic:/CoRN/algebra/COrdFields/twentyfour_ap_zero.con". inline "cic:/CoRN/algebra/COrdFields/fortyeight_ap_zero.con". (* UNEXPORTED -End More_than_four. +End More_than_four *) (* UNEXPORTED -End infinity_of_cordfields. +End infinity_of_cordfields *) (* UNEXPORTED @@ -467,14 +467,14 @@ Notation " x [/]FortyEightNZ" := (x[/] FortyEight[//]fortyeight_ap_zero _) (at l *) (* UNEXPORTED -Section consequences_of_infinity. +Section consequences_of_infinity *) (*#* *** Consequences of infinity *) -inline "cic:/CoRN/algebra/COrdFields/F.var". +alias id "F" = "cic:/CoRN/algebra/COrdFields/consequences_of_infinity/F.var". inline "cic:/CoRN/algebra/COrdFields/square_eq.con". @@ -485,13 +485,13 @@ Ordered fields have characteristic zero. inline "cic:/CoRN/algebra/COrdFields/char0_OrdField.con". (* UNEXPORTED -End consequences_of_infinity. +End consequences_of_infinity *) (*#**********************************) (* UNEXPORTED -Section Properties_of_Ordering. +Section Properties_of_Ordering *) (*#**********************************) @@ -500,7 +500,7 @@ Section Properties_of_Ordering. ** Properties of [[<]] *) -inline "cic:/CoRN/algebra/COrdFields/R.var". +alias id "R" = "cic:/CoRN/algebra/COrdFields/Properties_of_Ordering/R.var". (*#* We do not use a special predicate for positivity, @@ -511,7 +511,7 @@ Reasons: it is more natural; in ordinary mathematics we also write [Zero [<] x] *) (* UNEXPORTED -Section addition. +Section addition *) (*#* @@ -593,11 +593,11 @@ inline "cic:/CoRN/algebra/COrdFields/shift_zero_less_minus'.con". inline "cic:/CoRN/algebra/COrdFields/qltone.con". (* UNEXPORTED -End addition. +End addition *) (* UNEXPORTED -Section multiplication. +Section multiplication *) (*#* @@ -702,11 +702,11 @@ inline "cic:/CoRN/algebra/COrdFields/pos_div_twentyfour.con". inline "cic:/CoRN/algebra/COrdFields/pos_div_fortyeight.con". (* UNEXPORTED -End multiplication. +End multiplication *) (* UNEXPORTED -Section misc. +Section misc *) (*#* @@ -734,10 +734,10 @@ inline "cic:/CoRN/algebra/COrdFields/positive_Sumx.con". inline "cic:/CoRN/algebra/COrdFields/negative_Sumx.con". (* UNEXPORTED -End misc. +End misc *) (* UNEXPORTED -End Properties_of_Ordering. +End Properties_of_Ordering *)