update in static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / cpxs_reqx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_reqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_reqx.ma
deleted file mode 100644 (file)
index ee504e9..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_reqx.ma
+++ /dev/null
@@ -1,48 +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/rt_transition/cpx_reqx.ma".
-include "basic_2/rt_computation/cpxs_teqx.ma".
-
-(* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS *************)
-
-(* Properties with sort-irrelevant equivalence for local environments *******)
-
-(* Basic_2A1: was just: lleq_cpxs_trans *)
-lemma reqx_cpxs_trans (G):
-      ∀L0,T0,T1. ❪G,L0❫ ⊢ T0 ⬈* T1 → ∀L2. L2 ≛[T0] L0 → ❪G,L2❫ ⊢ T0 ⬈* T1.
-#G #L0 #T0 #T1 #H @(cpxs_ind_dx … H) -T0 //
-#T0 #T #H0T0 #_ #IH #L2 #HL2
-lapply (reqx_cpx_trans … HL2 … H0T0) #H2T0
-lapply (IH L2 ?) -IH /2 width=5 by cpx_reqx_conf_dx/ -L0 #H2T1
-/2 width=3 by cpxs_strap2/
-qed-.
-
-(* Basic_2A1: was just: cpxs_lleq_conf *)
-lemma cpxs_reqx_conf (G):
-      ∀L0,T0,T1. ❪G,L0❫ ⊢ T0 ⬈* T1 → ∀L2. L0 ≛[T0] L2 → ❪G,L2❫ ⊢ T0 ⬈* T1.
-/3 width=3 by reqx_cpxs_trans, reqx_sym/ qed-.
-
-(* Basic_2A1: was just: cpxs_lleq_conf_dx *)
-lemma cpxs_reqx_conf_dx (G):
-      ∀L2,T1,T2. ❪G,L2❫ ⊢ T1 ⬈* T2 →
-      ∀L1. L1 ≛[T1] L2 → L1 ≛[T2] L2.
-#G #L2 #T1 #T2 #H @(cpxs_ind … H) -T2 /3 width=6 by cpx_reqx_conf_dx/
-qed-.
-
-(* Basic_2A1: was just: lleq_conf_sn *)
-lemma cpxs_reqx_conf_sn (G):
-      ∀L1,T1,T2. ❪G,L1❫ ⊢ T1 ⬈* T2 →
-      ∀L2. L1 ≛[T1] L2 → L1 ≛[T2] L2.
-/4 width=6 by cpxs_reqx_conf_dx, reqx_sym/ qed-.