update in ground_2 static_2 basic_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / syntax / tueq_tueq.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/tueq_tueq.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/tueq_tueq.ma
deleted file mode 100644 (file)
index 4d8d21f..0000000
--- a/matita/matita/contribs/lambdadelta/static_2/syntax/tueq_tueq.ma
+++ /dev/null
@@ -1,44 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "static_2/syntax/tueq.ma".
-
-(* TAIL SORT-IRRELEVANT EQUIVALENCE ON TERMS ********************************)
-
-(* Main properties **********************************************************)
-
-theorem tueq_trans: Transitive … tueq.
-#T1 #T #H elim H -T1 -T
-[ #s1 #s #X #H
-  elim (tueq_inv_sort1 … H) -s /2 width=1 by tueq_sort/
-| #i1 #i #H //
-| #l1 #l #H //
-| #p #I #V #T1 #T #_ #IHT #X #H
-  elim (tueq_inv_bind1 … H) -H /3 width=1 by tueq_bind/
-| #V #T1 #T #_ #IHT #X #H
-  elim (tueq_inv_appl1 … H) -H /3 width=1 by tueq_appl/
-| #V1 #V #T1 #T #_ #_ #IHV #IHT #X #H
-  elim (tueq_inv_cast1 … H) -H /3 width=1 by tueq_cast/
-]
-qed-.
-
-theorem tueq_canc_sn: left_cancellable … tueq.
-/3 width=3 by tueq_trans, tueq_sym/ qed-.
-
-theorem tueq_canc_dx: right_cancellable … tueq.
-/3 width=3 by tueq_trans, tueq_sym/ qed-.
-
-theorem tueq_repl: ∀T1,T2. T1 ≅ T2 →
-                   ∀U1. T1 ≅ U1 → ∀U2. T2 ≅ U2 → U1 ≅ U2.
-/3 width=3 by tueq_canc_sn, tueq_trans/ qed-.