]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/static/lsuba_drops.ma
syntactic components detached from basic_2 become static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lsuba_drops.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_drops.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/drops.ma".
-include "basic_2/static/lsuba.ma".
-
-(* RESTRICTED REFINEMENT FOR ATOMIC ARITY ASSIGNMENT ************************)
-
-(* Properties with generic slicing for local environments *******************)
-
-(* Note: the premise 𝐔⦃f⦄ cannot be removed *)
-(* Basic_2A1: includes: lsuba_drop_O1_conf *)
-lemma lsuba_drops_conf_isuni: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → 
-                              ∀b,f,K1. 𝐔⦃f⦄ → ⬇*[b, f] L1 ≘ K1 →
-                              ∃∃K2. G ⊢ K1 ⫃⁝ K2 & ⬇*[b, f] L2 ≘ K2.
-#G #L1 #L2 #H elim H -L1 -L2
-[ /2 width=3 by ex2_intro/
-| #I #L1 #L2 #HL12 #IH #b #f #K1 #Hf #H
-  elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
-  [ #Hf #H destruct -IH
-    /3 width=3 by lsuba_bind, drops_refl, ex2_intro/
-  | #g #Hg #HLK1 #H destruct -HL12
-    elim (IH … Hg HLK1) -L1 -Hg /3 width=3 by drops_drop, ex2_intro/
-  ]
-| #L1 #L2 #W #V #A #HV #HW #HL12 #IH #b #f #K1 #Hf #H
-  elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
-  [ #Hf #H destruct -IH
-    /3 width=3 by drops_refl, lsuba_beta, ex2_intro/
-  | #g #Hg #HLK1 #H destruct -HL12
-    elim (IH … Hg HLK1) -L1 -Hg /3 width=3 by drops_drop, ex2_intro/
-  ]
-]
-qed-.
-
-(* Note: the premise 𝐔⦃f⦄ cannot be removed *)
-(* Basic_2A1: includes: lsuba_drop_O1_trans *)
-lemma lsuba_drops_trans_isuni: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 →
-                               ∀b,f,K2. 𝐔⦃f⦄ → ⬇*[b, f] L2 ≘ K2 →
-                               ∃∃K1. G ⊢ K1 ⫃⁝ K2 & ⬇*[b, f] L1 ≘ K1.
-#G #L1 #L2 #H elim H -L1 -L2
-[ /2 width=3 by ex2_intro/
-| #I #L1 #L2 #HL12 #IH #b #f #K2 #Hf #H
-  elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
-  [ #Hf #H destruct -IH
-    /3 width=3 by lsuba_bind, drops_refl, ex2_intro/
-  | #g #Hg #HLK2 #H destruct -HL12
-    elim (IH … Hg HLK2) -L2 -Hg /3 width=3 by drops_drop, ex2_intro/
-  ]
-| #L1 #L2 #W #V #A #HV #HW #HL12 #IH #b #f #K2 #Hf #H
-  elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
-  [ #Hf #H destruct -IH
-    /3 width=3 by drops_refl, lsuba_beta, ex2_intro/
-  | #g #Hg #HLK2 #H destruct -HL12
-    elim (IH … Hg HLK2) -L2 -Hg /3 width=3 by drops_drop, ex2_intro/
-  ]
-]
-qed-.