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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / delift / cpr_delift.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/delift/cpr_delift.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/delift/cpr_delift.etc
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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/unfold/thin_delift.ma".
-include "basic_2/reducibility/tpr_delift.ma".
-include "basic_2/reducibility/cpr.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS ****************************)
-
-(* Properties on inverse basic term relocation ******************************)
-
-(* Basic_1: was only: pr2_gen_cabbr *)
-lemma thin_cpr_delift_conf: ∀L,U1,U2. L ⊢ U1 ➡ U2 →
-                            ∀K,d,e. ▼*[d, e] L ≡ K → ∀T1. L ⊢ ▼*[d, e] U1 ≡ T1 →
-                            ∃∃T2. K ⊢ T1 ➡ T2 & L ⊢ ▼*[d, e] U2 ≡ T2.
-#L #U1 #U2 * #U #HU1 #HU2 #K #d #e #HLK #T1 #HTU1
-elim (tpr_delift_conf … HU1 … HTU1) -U1 #T #HT1 #HUT
-elim (le_or_ge (|L|) d) #Hd
-[ elim (thin_delift_tpss_conf_le … HU2 … HUT … HLK ?)
-| elim (le_or_ge (|L|) (d+e)) #Hde
-  [ elim (thin_delift_tpss_conf_le_up … HU2 … HUT … HLK ? ? ?)
-  | elim (thin_delift_tpss_conf_be … HU2 … HUT … HLK ? ?)
-  ]
-] -U -HLK // -Hd [2,3: -Hde] #T2 #HT2
-lapply (cpr_intro … HT1 HT2) -T /2 width=3/
-qed.