update in static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lpx_reqx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_reqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_reqx.ma
deleted file mode 100644 (file)
index dfd3672..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_reqx.ma
+++ /dev/null
@@ -1,56 +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 "static_2/static/reqx_req.ma".
-include "basic_2/rt_transition/rpx_reqx.ma".
-include "basic_2/rt_transition/rpx_lpx.ma".
-
-(* EXTENDED PARALLEL RT-TRANSITION FOR FULL LOCAL ENVIRONMENTS **************)
-
-(* Properties with sort-irrelevant equivalence for local environments *******)
-
-lemma reqx_lpx_trans_rpx (G) (L) (T:term):
-      ∀L1. L1 ≛[T] L → ∀L2. ❪G,L❫ ⊢ ⬈ L2 → ❪G,L❫ ⊢ ⬈[T] L2.
-/3 width=1 by lpx_rpx, reqx_rpx_trans/ qed.
-
-(* Basic_2A1: uses: lleq_lpx_trans *)
-lemma reqx_lpx_trans (G):
-      ∀L2,K2. ❪G,L2❫ ⊢ ⬈ K2 → ∀L1. ∀T:term. L1 ≛[T] L2 →
-      ∃∃K1. ❪G,L1❫ ⊢ ⬈ K1 & K1 ≛[T] K2.
-#G #L2 #K2 #HLK2 #L1 #T #HL12
-lapply (lpx_rpx … T … HLK2) -HLK2 #HLK2
-lapply (reqx_rpx_trans … HL12 … HLK2) -L2 #H
-elim (rpx_fwd_lpx_req … H) -H #K1 #HLK1 #HK12
-/3 width=3 by req_reqx, ex2_intro/
-qed-.
-
-(* Inversion lemmas with sort-irrelevant equivalence for local environments *)
-
-lemma rpx_inv_reqx_lpx (G) (T):
-      ∀L1,L2. ❪G,L1❫ ⊢ ⬈[T] L2 →
-      ∃∃L. L1 ≛[T] L & ❪G,L❫ ⊢ ⬈ L2.
-#G #T #L1 #L2 #H
-elim (rpx_inv_req_lpx … H) -H #L #HL1 #HL2
-/3 width=3 by req_reqx, ex2_intro/
-qed-.
-
-(* Forward lemmas with sort-irrelevant equivalence for local environments ***)
-
-lemma rpx_fwd_lpx_reqx (G) (T):
-      ∀L1,L2. ❪G,L1❫ ⊢ ⬈[T] L2 →
-      ∃∃L. ❪G,L1❫ ⊢ ⬈ L & L ≛[T] L2.
-#G #T #L1 #L2 #H
-elim (rpx_fwd_lpx_req … H) -H #L #HL1 #HL2
-/3 width=3 by req_reqx, ex2_intro/
-qed-.