X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Flogic%2Fequality.ma;h=3b242c66709d6562debbc465a00e930cd4fb370e;hb=69c5a60dfa385a3d0e270ed38eb0d970366792c5;hp=0561fb993cb90045a502a12dcf28a14680f46fdb;hpb=7b4d519aefac94afb371a7e4da94779b40bf8608;p=helm.git diff --git a/helm/software/matita/library/logic/equality.ma b/helm/software/matita/library/logic/equality.ma index 0561fb993..3b242c667 100644 --- a/helm/software/matita/library/logic/equality.ma +++ b/helm/software/matita/library/logic/equality.ma @@ -65,8 +65,15 @@ theorem eq_f: \forall A,B:Type.\forall f:A\to B. intros.elim H.apply refl_eq. qed. +theorem eq_f': \forall A,B:Type.\forall f:A\to B. +\forall x,y:A. x=y \to f y = f x. +intros.elim H.apply refl_eq. +qed. + +(* coercion cic:/matita/logic/equality/sym_eq.con. coercion cic:/matita/logic/equality/eq_f.con. +*) default "equality" cic:/matita/logic/equality/eq.ind @@ -75,7 +82,7 @@ default "equality" cic:/matita/logic/equality/eq_ind.con cic:/matita/logic/equality/eq_elim_r.con cic:/matita/logic/equality/eq_f.con - cic:/matita/logic/equality/eq_OF_eq.con. (* \x.sym (eq_f x) *) + cic:/matita/logic/equality/eq_f'.con. (* \x.sym (eq_f x) *) theorem eq_f2: \forall A,B,C:Type.\forall f:A\to B \to C. \forall x1,x2:A. \forall y1,y2:B.