renaming in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_lfdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_lfdeq.ma
deleted file mode 100644 (file)
index 0008d2f..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_lfdeq.ma
+++ /dev/null
@@ -1,32 +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/static/lfdeq_lfeq.ma".
-include "basic_2/rt_transition/lfpx_lfdeq.ma".
-include "basic_2/rt_transition/lfpx_lpx.ma".
-
-(* UNBOUND PARALLEL RT-TRANSITION FOR FULL LOCAL ENVIRONMENTS ***************)
-
-(* Properties with degree-based equivalence for local environments **********)
-
-(* Basic_2A1: uses: lleq_lpx_trans *)
-lemma lfdeq_lpx_trans (h) (o) (G): ∀L2,K2. ⦃G, L2⦄ ⊢ ⬈[h] K2 →
-                                   ∀L1. ∀T:term. L1 ≛[h, o, T] L2 →
-                                   ∃∃K1. ⦃G, L1⦄ ⊢ ⬈[h] K1 & K1 ≛[h, o, T] K2.
-#h #o #G #L2 #K2 #HLK2 #L1 #T #HL12
-lapply (lpx_lfpx … T HLK2) -HLK2 #HLK2
-elim (lfdeq_lfpx_trans … HLK2 … HL12) -L2 #K #H #HK2
-elim (lfpx_inv_lpx_lfeq … H) -H #K1 #HLK1 #HK1
-/3 width=5 by lfeq_lfdeq_trans, ex2_intro/
-qed-.