BIG FAT COMMIT REGARDING COERCIONS:

[helm.git] / matita / library / legacy / coq.ma

diff --git a/matita/library/legacy/coq.ma b/matita/library/legacy/coq.ma
index 76da7d8984134a87d4fa1bfea5a440e4b688746d..9860c63e29137b8c4d1d409d6ac18486ea03574a 100644 (file)
--- a/matita/library/legacy/coq.ma
+++ b/matita/library/legacy/coq.ma
@@ -1,5 +1,5 @@
 (**************************************************************************)
-(*       ___                                                               *)
+(*       ___                                                             *)
 (*      ||M||                                                             *)
 (*      ||A||       A project by Andrea Asperti                           *)
 (*      ||T||                                                             *)
@@ -14,6 +14,22 @@
 
 set "baseuri" "cic:/matita/legacy/coq/".
 
+default "equality"
+ cic:/Coq/Init/Logic/eq.ind
+ 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/f_equal.con
+ cic:/matita/legacy/coq/f_equal1.con.
+
+default "true"
+ cic:/Coq/Init/Logic/True.ind. 
+default "false"
+ cic:/Coq/Init/Logic/False.ind. 
+default "absurd"
+ cic:/Coq/Init/Logic/absurd.con. 
+
 (* aritmetic operators *)
 
 interpretation "Coq's natural plus" 'plus x y = (cic:/Coq/Init/Peano/plus.con x y).
@@ -59,4 +75,16 @@ interpretation "Coq's not equal to (leibnitz)" 'neq x y = (cic:/Coq/Init/Logic/n
 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.
+  symmetry.
+  apply cic:/Coq/Init/Logic/f_equal.con.
+  assumption.
+qed.
+(* aliases *)
+
+(* FG: This is because "and" is a reserved keyword of the parser *)
+alias id "land" = "cic:/Coq/Init/Logic/and.ind#xpointer(1/1)".