X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Fmodel%2Fstructures%2FZsec.ma;h=b7aa226b1e3cf59977007a73a1d124a0fb99f70a;hb=f2d9db85559c7a8db11aae1153495fae4a258d54;hp=26164cfeb945215015cab7368bacf8c3c7da60bf;hpb=3199f2a8428b5d19a3a803c1b03d9f90e4120f74;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/model/structures/Zsec.ma b/helm/software/matita/contribs/CoRN-Decl/model/structures/Zsec.ma index 26164cfeb..b7aa226b1 100644 --- a/helm/software/matita/contribs/CoRN-Decl/model/structures/Zsec.ma +++ b/helm/software/matita/contribs/CoRN-Decl/model/structures/Zsec.ma @@ -16,17 +16,13 @@ set "baseuri" "cic:/matita/CoRN-Decl/model/structures/Zsec". +include "CoRN.ma". + (* $Id: Zsec.v,v 1.5 2004/04/06 15:46:05 lcf Exp $ *) (*#* printing {#Z} %\ensuremath{\mathrel\#_{\mathbb Z}}% *) -(* INCLUDE -ZArith -*) - -(* INCLUDE -CLogic -*) +include "algebra/CLogic.ma". (*#* *[Z] ** About [Z] @@ -37,62 +33,68 @@ datatype [Z] as defined in [ZArith], in the standard library). We define the apartness as the negation of the Leibniz equality: *) -inline cic:/CoRN/model/structures/Zsec/ap_Z.con. +inline "cic:/CoRN/model/structures/Zsec/ap_Z.con". + +(* NOTATION +Infix "{#Z}" := ap_Z (no associativity, at level 90). +*) (*#* Some properties of apartness: *) -inline cic:/CoRN/model/structures/Zsec/ap_Z_irreflexive0.con. +inline "cic:/CoRN/model/structures/Zsec/ap_Z_irreflexive0.con". -inline cic:/CoRN/model/structures/Zsec/ap_Z_symmetric0.con. +inline "cic:/CoRN/model/structures/Zsec/ap_Z_symmetric0.con". -inline cic:/CoRN/model/structures/Zsec/ap_Z_cotransitive0.con. +inline "cic:/CoRN/model/structures/Zsec/ap_Z_cotransitive0.con". -inline cic:/CoRN/model/structures/Zsec/ap_Z_tight0.con. +inline "cic:/CoRN/model/structures/Zsec/ap_Z_tight0.con". -inline cic:/CoRN/model/structures/Zsec/ONE_neq_O.con. +inline "cic:/CoRN/model/structures/Zsec/ONE_neq_O.con". (*#* ***Addition Some properties of the addition. [Zplus] is also defined in the standard library. *) -inline cic:/CoRN/model/structures/Zsec/Zplus_wd0.con. +inline "cic:/CoRN/model/structures/Zsec/Zplus_wd0.con". -inline cic:/CoRN/model/structures/Zsec/Zplus_strext0.con. +inline "cic:/CoRN/model/structures/Zsec/Zplus_strext0.con". (*#* ***Multiplication The multiplication is extensional: *) -inline cic:/CoRN/model/structures/Zsec/Zmult_strext0.con. +inline "cic:/CoRN/model/structures/Zsec/Zmult_strext0.con". (*#* ***Miscellaneous *) -inline cic:/CoRN/model/structures/Zsec/Zpos.con. +inline "cic:/CoRN/model/structures/Zsec/Zpos.con". (* begin hide *) +coercion cic:/Coq/ZArith/BinInt/Z.ind#xpointer(1/1/2) 0 (* compounds *). + (* end hide *) -inline cic:/CoRN/model/structures/Zsec/a_very_specific_lemma1.con. +inline "cic:/CoRN/model/structures/Zsec/a_very_specific_lemma1.con". -inline cic:/CoRN/model/structures/Zsec/a_very_specific_lemma2.con. +inline "cic:/CoRN/model/structures/Zsec/a_very_specific_lemma2.con". -inline cic:/CoRN/model/structures/Zsec/a_very_specific_lemma3.con. +inline "cic:/CoRN/model/structures/Zsec/a_very_specific_lemma3.con". -inline cic:/CoRN/model/structures/Zsec/a_very_specific_lemma4.con. +inline "cic:/CoRN/model/structures/Zsec/a_very_specific_lemma4.con". -inline cic:/CoRN/model/structures/Zsec/a_very_specific_lemma5.con. +inline "cic:/CoRN/model/structures/Zsec/a_very_specific_lemma5.con". -inline cic:/CoRN/model/structures/Zsec/Zpos_pos.con. +inline "cic:/CoRN/model/structures/Zsec/Zpos_pos.con". -inline cic:/CoRN/model/structures/Zsec/Zpos_neg.con. +inline "cic:/CoRN/model/structures/Zsec/Zpos_neg.con". -inline cic:/CoRN/model/structures/Zsec/Zpos_Zsgn.con. +inline "cic:/CoRN/model/structures/Zsec/Zpos_Zsgn.con". -inline cic:/CoRN/model/structures/Zsec/Zpos_Zsgn2.con. +inline "cic:/CoRN/model/structures/Zsec/Zpos_Zsgn2.con". -inline cic:/CoRN/model/structures/Zsec/a_very_specific_lemma5'.con. +inline "cic:/CoRN/model/structures/Zsec/a_very_specific_lemma5'.con".