X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Flogic%2Fcoimplication.ma;h=44f8d5b8eb5f5f36f4affe1aefe4bb334ae6882b;hb=456a157eba1428fd4ec02713e60ac2b653a0e0b0;hp=a8fc4a232fbbcfc3eadca0a4476632f10bce23da;hpb=9eabe046c1182960de8cfdba96c5414224e3a61e;p=helm.git diff --git a/helm/software/matita/library/logic/coimplication.ma b/helm/software/matita/library/logic/coimplication.ma index a8fc4a232..44f8d5b8e 100644 --- a/helm/software/matita/library/logic/coimplication.ma +++ b/helm/software/matita/library/logic/coimplication.ma @@ -17,16 +17,7 @@ include "logic/connectives.ma". definition Iff : Prop \to Prop \to Prop \def \lambda A,B. (A \to B) \land (B \to A). - (*CSC: the URI must disappear: there is a bug now *) -interpretation "logical iff" 'iff x y = (cic:/matita/logic/coimplication/Iff.con x y). - -notation > "hvbox(a break \liff b)" - left associative with precedence 25 -for @{ 'iff $a $b }. - -notation < "hvbox(a break \leftrightarrow b)" - left associative with precedence 25 -for @{ 'iff $a $b }. +interpretation "logical iff" 'iff x y = (Iff x y). theorem iff_intro: \forall A,B. (A \to B) \to (B \to A) \to (A \liff B). unfold Iff. intros. split; intros; autobatch. @@ -41,5 +32,5 @@ theorem iff_sym: \forall A,B. A \liff B \to B \liff A. qed. theorem iff_trans: \forall A,B,C. A \liff B \to B \liff C \to A \liff C. - intros. elim H. elim H1. apply iff_intro;intros;autobatch. + intros. elim H. elim H1. apply iff_intro;intros;autobatch depth=3. qed.