added a preamble file with disambiguation information

diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/Level-1/Base.ma b/helm/software/matita/contribs/LAMBDA-TYPES/Level-1/Base.ma
index 09d1f733ad672f7569b819ef6595a780d0f84e44..4193eabcc9ceb13e268d0ece0e3f561fab82bf23 100644 (file)
--- a/helm/software/matita/contribs/LAMBDA-TYPES/Level-1/Base.ma
+++ b/helm/software/matita/contribs/LAMBDA-TYPES/Level-1/Base.ma
@@ -16,7 +16,7 @@
 
 set "baseuri" "cic:/matita/LAMBDA-TYPES/Level-1/Base".
 
-include "legacy/coq.ma".
+include "Preamble.ma".
 
 theorem insert_eq:
  \forall (S: Set).(\forall (x: S).(\forall (P: ((S \to Prop))).(\forall (G: Prop).(((\forall (y: S).((P y) \to ((eq S y x) \to G)))) \to ((P x) \to G)))))

diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/Level-1/Preamble.ma b/helm/software/matita/contribs/LAMBDA-TYPES/Level-1/Preamble.ma
new file mode 100644 (file)
index 0000000..1e73acd
--- /dev/null
+++ b/helm/software/matita/contribs/LAMBDA-TYPES/Level-1/Preamble.ma
@@ -0,0 +1,56 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/LAMBDA-TYPES/Level-1/Preamble".
+
+include "legacy/coq.ma".
+
+(* FG/CSC: These aliases should disappear: we would like to write something
+ *         like: "disambiguate in cic:/Coq/*"
+ *)
+alias id "True" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1)".
+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)".
+alias id "ex" = "cic:/Coq/Init/Logic/ex.ind#xpointer(1/1)".
+alias id "ex2" = "cic:/Coq/Init/Logic/ex2.ind#xpointer(1/1)".
+alias id "true" = "cic:/Coq/Init/Datatypes/bool.ind#xpointer(1/1/1)".
+alias id "false" = "cic:/Coq/Init/Datatypes/bool.ind#xpointer(1/1/2)".
+alias id "bool" = "cic:/Coq/Init/Datatypes/bool.ind#xpointer(1/1)".
+alias id "O" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/1)".
+alias id "S" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/2)".
+alias id "eq_ind" = "cic:/Coq/Init/Logic/eq_ind.con".
+alias id "or_introl" = "cic:/Coq/Init/Logic/or.ind#xpointer(1/1/1)".
+alias id "or_intror" = "cic:/Coq/Init/Logic/or.ind#xpointer(1/1/2)".
+alias id "False_ind" = "cic:/Coq/Init/Logic/False_ind.con".
+alias id "False" = "cic:/Coq/Init/Logic/False.ind#xpointer(1/1)".
+alias id "I" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1/1)".
+alias id "minus" = "cic:/Coq/Init/Peano/minus.con".
+
+theorem f_equal: \forall A,B:Type. \forall f:A \to B.
+                 \forall x,y:A. x = y \to f x = f y.
+ intros. elim H. reflexivity.
+qed.
+
+theorem sym_eq: \forall A:Type. \forall x,y:A. x = y \to y = x.
+ intros. rewrite > H. reflexivity.
+qed.
+
+theorem sym_not_eq: \forall A:Type. \forall x,y:A. x \neq y \to y \neq x.
+ unfold not. intros. apply H. symmetry. assumption.
+qed.