X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Flibrary%2Flegacy%2Fcoq.ma;h=9860c63e29137b8c4d1d409d6ac18486ea03574a;hb=dccfee15d96938072fbdf4004a06e5b59ba876dc;hp=d3c74fe21e88a02b6ab4e502fcf79c669af0bc19;hpb=7f2444c2670cadafddd8785b687ef312158376b0;p=helm.git

diff --git a/matita/library/legacy/coq.ma b/matita/library/legacy/coq.ma
index d3c74fe21..9860c63e2 100644
--- 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).
@@ -56,3 +72,19 @@ interpretation "Coq's real 'greater than'" 'gt x y = (cic:/Coq/Reals/Rdefinition
 interpretation "Coq's leibnitz's equality" 'eq x y = (cic:/Coq/Init/Logic/eq.ind#xpointer(1/1) _ x y).
 interpretation "Coq's not equal to (leibnitz)" 'neq x y = (cic:/Coq/Init/Logic/not.con (cic:/Coq/Init/Logic/eq.ind#xpointer(1/1) _ x y)).
 
+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)".
+