X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Flibrary%2Flogic%2Fequality.ma;h=77ef0eb82ca2064213d49b0106cf82994a8917e0;hb=91a095f0686ee569ba035e4e30c7d071588cb8e7;hp=0be69f9b7e3054e93cc5fc72270739a46ebcd06d;hpb=633474751ddf1074947ff0d324fb1aca2293eff8;p=helm.git diff --git a/helm/matita/library/logic/equality.ma b/helm/matita/library/logic/equality.ma index 0be69f9b7..77ef0eb82 100644 --- a/helm/matita/library/logic/equality.ma +++ b/helm/matita/library/logic/equality.ma @@ -19,8 +19,10 @@ include "higher_order_defs/relations.ma". inductive eq (A:Type) (x:A) : A \to Prop \def refl_eq : eq A x x. +(*CSC: the URI must disappear: there is a bug now *) interpretation "leibnitz's equality" 'eq x y = (cic:/matita/logic/equality/eq.ind#xpointer(1/1) _ x y). +(*CSC: this alias should disappear. It is now required because the notation for Coq is pre-loaded *) alias symbol "eq" (instance 0) = "leibnitz's equality". @@ -56,12 +58,12 @@ default "equality" cic:/matita/logic/equality/eq_elim_r.con. theorem eq_f: \forall A,B:Type.\forall f:A\to B. -\forall x,y:A. x=y \to (f x)=(f y). +\forall x,y:A. x=y \to f x = f y. intros.elim H.reflexivity. qed. theorem eq_f2: \forall A,B,C:Type.\forall f:A\to B \to C. \forall x1,x2:A. \forall y1,y2:B. -x1=x2 \to y1=y2 \to (f x1 y1)=(f x2 y2). +x1=x2 \to y1=y2 \to f x1 y1 = f x2 y2. intros.elim H1.elim H.reflexivity. qed.