milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / xpr / xprs_lift.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/xpr/xprs_lift.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/xpr/xprs_lift.etc
deleted file mode 100644 (file)
index cb151a1..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/xpr/xprs_lift.etc
+++ /dev/null
@@ -1,50 +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/reducibility/xpr_lift.ma".
-include "basic_2/computation/cprs.ma".
-include "basic_2/computation/xprs.ma".
-
-(* EXTENDED PARALLEL COMPUTATION ON TERMS ***********************************)
-
-(* Advanced forward lemmas **************************************************)
-
-lemma xprs_fwd_abst1: ∀h,g,a,L,V1,T1,U2. ⦃h, L⦄ ⊢ ⓛ{a}V1. T1 •➡*[g] U2 →
-                      ∃∃V2,T2. L ⊢ V1 ➡* V2 & U2 = ⓛ{a}V2. T2.
-#h #g #a #L #V1 #T1 #U2 #H @(xprs_ind … H) -U2 /2 width=4/
-#U #U2 #_ #HU2 * #V #T #HV1 #H destruct
-elim (xpr_inv_abst1 … HU2) -HU2 #V2 #T2 #HV2 #_ #H destruct /3 width=4/
-qed-.
-
-(* Relocation properties ****************************************************)
-
-lemma xprs_lift: ∀L,K,d,e. ⇩[d, e] L ≡ K → ∀T1,U1. ⇧[d, e] T1 ≡ U1 →
-                 ∀h,g,T2. ⦃h, K⦄ ⊢ T1 •➡*[g] T2 → ∀U2. ⇧[d, e] T2 ≡ U2 →
-                 ⦃h, L⦄ ⊢ U1 •➡*[g] U2.
-#L #K #d #e #HLK #T1 #U1 #HTU1 #h #g #T2 #HT12 @(xprs_ind … HT12) -T2
-[ -HLK #T2 #HT12
-   <(lift_mono … HTU1 … HT12) -T1 //
-| -HTU1 #T #T2 #_ #HT2 #IHT2 #U2 #HTU2
-  elim (lift_total T d e) #U #HTU
-  lapply (xpr_lift … HLK … HTU … HTU2 … HT2) -T2 -HLK /3 width=3/
-]
-qed.
-
-lemma xprs_inv_lift1: ∀L,K,d,e. ⇩[d, e] L ≡ K →
-                      ∀T1,U1. ⇧[d, e] T1 ≡ U1 → ∀h,g,U2. ⦃h, L⦄ ⊢ U1 •➡*[g] U2 →
-                      ∃∃T2. ⇧[d, e] T2 ≡ U2 & ⦃h, K⦄ ⊢ T1 •➡*[g] T2.
-#L #K #d #e #HLK #T1 #U1 #HTU1 #h #g #U2 #HU12 @(xprs_ind … HU12) -U2 /2 width=3/
--HTU1 #U #U2 #_ #HU2 * #T #HTU #HT1
-elim (xpr_inv_lift1 … HLK … HTU … HU2) -U -HLK /3 width=5/
-qed.