X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Flibrary%2Flegacy%2Fcoq.ma;h=092a11c6ae3e7e38c7c6c083e55dc7a5c554ac56;hb=25871137d6571c7634c967c3b2fc87eab75b9704;hp=e7a5615d9c633dac55f120e08376fc219e5597cc;hpb=ec7717f5e0dd4c295ba1cfd57a0a6a46170490ef;p=helm.git

diff --git a/matita/library/legacy/coq.ma b/matita/library/legacy/coq.ma
index e7a5615d9..092a11c6a 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 +76,21 @@ 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)).
 
+(* aliases *)
+
+alias id "or" = "cic:/Coq/Init/Logic/or.ind#xpointer(1/1)".
+alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
+alias id "eq" = "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1)".
+alias id "plus" = "cic:/Coq/Init/Peano/plus.con".
+alias id "le_trans" = "cic:/Coq/Arith/Le/le_trans.con".
+alias id "le_plus_r" = "cic:/Coq/Arith/Plus/le_plus_r.con".
+alias id "le" = "cic:/Coq/Init/Peano/le.ind#xpointer(1/1)".
+
+(* theorems *)
+
+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.
+