From: Enrico Tassi <enrico.tassi@inria.fr>
Date: Tue, 25 Jul 2006 09:04:25 +0000 (+0000)
Subject: added definition of f_equal1. I think this file should not be inside the matita library!
X-Git-Tag: 0.4.95@7852~1150
X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=commitdiff_plain;h=35da6946c671c249b63375f97f07164786e5a303;p=helm.git

added definition of f_equal1. I think this file should not be inside the matita library!
once cercions from /\ to eq will be committed the definition should be replaced by two
coercion statement (that will generate the composite)
---

diff --git a/matita/library/legacy/coq.ma b/matita/library/legacy/coq.ma
index e7a5615d9..8669d1ef7 100644
--- a/matita/library/legacy/coq.ma
+++ b/matita/library/legacy/coq.ma
@@ -19,7 +19,9 @@ default "equality"
  cic:/Coq/Init/Logic/sym_eq.con
  cic:/Coq/Init/Logic/trans_eq.con
  cic:/Coq/Init/Logic/eq_ind.con
- cic:/Coq/Init/Logic/eq_ind_r.con. 
+ cic:/Coq/Init/Logic/eq_ind_r.con 
+ cic:/Coq/Init/Logic/f_equal.con 
+ cic:/Coq/Init/Logic/f_equal1.con. 
 
 default "true"
  cic:/Coq/Init/Logic/True.ind. 
@@ -74,3 +76,9 @@ interpretation "Coq's natural 'not less or equal than'"
  'nleq x y = (cic:/Coq/Init/Logic/not.con 
                (cic:/Coq/Init/Peano/le.ind#xpointer(1/1) x y)).
 
+theorem f_equal1 : 
+  \forall A,B:Type. \forall f:A \to B. \forall x,y:A.
+  x = y \to f y = f x.
+  intros.elim H.reflexivity.
+qed.
+