X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fprocedural%2FCoq%2Fpreamble.ma;h=a062d69550aa91878387a13a600862c73b0c8fed;hb=05cfeb82d2624860e66941421a937f308d66cf33;hp=a5875f573e0ed26e805637edc9f1a7e85dcc738b;hpb=29714797b01e0ac8c22e4df2827b1785a759f482;p=helm.git

diff --git a/helm/software/matita/contribs/procedural/Coq/preamble.ma b/helm/software/matita/contribs/procedural/Coq/preamble.ma
index a5875f573..a062d6955 100644
--- a/helm/software/matita/contribs/procedural/Coq/preamble.ma
+++ b/helm/software/matita/contribs/procedural/Coq/preamble.ma
@@ -12,11 +12,34 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "coq.ma".
-(*
-alias id "refl_equal" = "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1/1)".
-alias id "False" = "cic:/Coq/Init/Logic/False.ind#xpointer(1/1)".
-alias id "True" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1)".
-alias id "I" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1/1)".
-alias id "sym_eq" = "cic:/Coq/Init/Logic/sym_eq.con".	
-*)
+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/eq_rec.con
+ cic:/Coq/Init/Logic/eq_rec_r.con
+ cic:/Coq/Init/Logic/eq_rect.con
+ cic:/Coq/Init/Logic/eq_rect_r.con
+ cic:/Coq/Init/Logic/f_equal.con
+ cic:/matita/procedural/Coq/preamble/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. 
+
+interpretation "Coq's leibnitz's equality" 'eq x y = (cic:/Coq/Init/Logic/eq.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.
+
+alias id "land" = "cic:/matita/procedural/Coq/Init/Logic/and.ind#xpointer(1/1)".