syntactic components detached from basic_2 become static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / i_static / rexs_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/i_static/rexs_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/i_static/rexs_drops.ma
deleted file mode 100644 (file)
index 3ace3be..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/i_static/rexs_drops.ma
+++ /dev/null
@@ -1,72 +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 "basic_2/relocation/seq_seq.ma".
-include "basic_2/static/rex_drops.ma".
-include "basic_2/i_static/rexs.ma".
-
-(* ITERATED EXTENSION ON REFERRED ENTRIES OF A CONTEXT-SENSITIVE REALTION ***)
-
-definition tc_f_dedropable_sn: predicate (relation3 lenv term term) ≝
-                               λR. ∀b,f,L1,K1. ⬇*[b, f] L1 ≘ K1 →
-                               ∀K2,T. K1 ⪤*[R, T] K2 → ∀U. ⬆*[f] T ≘ U →
-                               ∃∃L2. L1 ⪤*[R, U] L2 & ⬇*[b, f] L2 ≘ K2 & L1 ≡[f] L2.
-
-definition tc_f_dropable_sn: predicate (relation3 lenv term term) ≝
-                             λR. ∀b,f,L1,K1. ⬇*[b, f] L1 ≘ K1 → 𝐔⦃f⦄ →
-                             ∀L2,U. L1 ⪤*[R, U] L2 → ∀T. ⬆*[f] T ≘ U →
-                             ∃∃K2. K1 ⪤*[R, T] K2 & ⬇*[b, f] L2 ≘ K2.
-
-definition tc_f_dropable_dx: predicate (relation3 lenv term term) ≝
-                             λR. ∀L1,L2,U. L1 ⪤*[R, U] L2 →
-                             ∀b,f,K2. ⬇*[b, f] L2 ≘ K2 → 𝐔⦃f⦄ → ∀T. ⬆*[f] T ≘ U →
-                             ∃∃K1. ⬇*[b, f] L1 ≘ K1 & K1 ⪤*[R, T] K2.
-
-(* Properties with generic slicing for local environments *******************)
-
-lemma dedropable_sn_CTC: ∀R. f_dedropable_sn R → tc_f_dedropable_sn R.
-#R #HR #b #f #L1 #K1 #HLK1 #K2 #T #H elim H -K2
-[ #K2 #HK12 #U #HTU elim (HR … HLK1 … HK12 … HTU) -K1 -T -HR
-  /3 width=4 by ex3_intro, inj/
-| #K #K2 #_ #HK2 #IH #U #HTU -HLK1
-  elim (IH … HTU) -IH #L #HL1 #HLK
-  elim (HR … HLK … HK2 … HTU) -K -T -HR
-  /3 width=6 by seq_trans, rexs_step_dx, ex3_intro/
-]
-qed-.
-
-(* Inversion lemmas with generic slicing for local environments *************)
-
-lemma dropable_sn_CTC: ∀R. f_dropable_sn R → tc_f_dropable_sn R.
-#R #HR #b #f #L1 #K1 #HLK1 #Hf #L2 #U #H elim H -L2
-[ #L2 #HL12 #T #HTU elim (HR … HLK1 … HL12 … HTU) -L1 -U -HR
-  /3 width=3 by inj, ex2_intro/
-| #L #L2 #_ #HL2 #IH #T #HTU -HLK1
-  elim (IH … HTU) -IH #K #HK1 #HLK
-  elim (HR … HLK … HL2 … HTU) -L -U -HR
-  /3 width=3 by rexs_step_dx, ex2_intro/
-]
-qed-.
-
-lemma dropable_dx_CTC: ∀R. f_dropable_dx R → tc_f_dropable_dx R.
-#R #HR #L1 #L2 #U #H elim H -L2
-[ #L2 #HL12 #b #f #K2 #HLK2 #Hf #T #HTU
-  elim (HR … HL12 … HLK2 … HTU) -L2 -U -HR
-  /3 width=3 by inj, ex2_intro/
-| #L #L2 #_ #HL2 #IH #b #f #K2 #HLK2 #Hf #T #HTU
-  elim (HR … HL2 … HLK2 … HTU) -L2 -HR // #K #HLK #HK2
-  elim (IH … HLK … HTU) -IH -L -U
-  /3 width=5 by rexs_step_dx, ex2_intro/
-]
-qed-.