- main proposition on lsx finally proved!

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc / leq / leq_old.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/leq/leq_old.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/leq/leq_old.etc
deleted file mode 100644 (file)
index 52b458c..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc/leq/leq_old.etc
+++ /dev/null
@@ -1,48 +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                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-axiom- lleq_inv_lref_lt_bi: ∀L1,L2,i,d. L1 ⋕[d, #i] L2 → i < d →
-                           ∀I1,I2,K1,K2,V1,V2. ⇩[0, i] L1 ≡ K1.ⓑ{I1}V1 → ⇩[0, i] L2 ≡ K2.ⓑ{I2}V2 → 
-                           K1 ⋕[d-i-1, V1] K2 ∧ K1 ⋕[d-i-1, V2] K2.
-
-include "Basic-2/grammar/lenv_length.ma".
-
-(* LOCAL ENVIRONMENT EQUALITY ***********************************************)
-
-interpretation "local environment equality" 'Eq L1 d e L2 = (leq L1 d e L2).
-
-(* Basic properties *********************************************************)
-
-| leq_comp: ∀L1,L2,I1,I2,V1,V2.
-            leq L1 0 0 L2 → leq (L1. 𝕓{I1} V1) 0 0 (L2. 𝕓{I2} V2)
-
-lemma leq_fwd_length: ∀L1,L2,d,e. L1 [d, e] ≈ L2 → |L1| = |L2|.
-#L1 #L2 #d #e #H elim H -H L1 L2 d e; normalize //
-qed.  
-
-(* Basic inversion lemmas ***************************************************)
-
-lemma leq_inv_sort1_aux: ∀L1,L2,d,e. L1 [d, e] ≈ L2 → L1 = ⋆ → L2 = ⋆.
-#L1 #L2 #d #e #H elim H -H L1 L2 d e
-[ //
-| #L1 #L2 #I1 #I2 #V1 #V2 #_ #_ #H destruct
-| #L1 #L2 #I #V #e #_ #_ #H destruct
-| #L1 #L2 #I1 #I2 #V1 #V2 #d #e #_ #_ #H destruct
-qed.
-
-lemma leq_inv_sort1: ∀L2,d,e. ⋆ [d, e] ≈ L2 → L2 = ⋆.
-/2 width=5/ qed.
-
-lemma leq_inv_sort2: ∀L1,d,e. L1 [d, e] ≈ ⋆ → L1 = ⋆.
-/3/ qed.