renaming in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_lfeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_lfeq.ma
deleted file mode 100644 (file)
index 48ae7a9..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_lfeq.ma
+++ /dev/null
@@ -1,63 +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/lfeq.ma".
-include "basic_2/rt_transition/lfpx_fsle.ma".
-
-(* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
-
-(* Properties with syntactic equivalence for lenvs on referred entries ******)
-
-(* Basic_2A1: was: lleq_cpx_trans *)
-lemma lfeq_cpx_trans: ∀h,G. lfeq_transitive (cpx h G).
-#h #G #L2 #T1 #T2 #H @(cpx_ind … H) -G -L2 -T1 -T2 /2 width=2 by cpx_ess/
-[ #I #G #K2 #V1 #V2 #W2 #_ #IH #HVW2 #L1 #H
-  elim (lfeq_inv_zero_pair_dx … H) -H #K1 #HK12 #H destruct
-  /3 width=3 by cpx_delta/
-| #I2 #G #K2 #T #U #i #_ #IH #HTU #L1 #H
-  elim (lfeq_inv_lref_bind_dx … H) -H #I1 #K1 #HK12 #H destruct
-  /3 width=3 by cpx_lref/
-| #p #I #G #L2 #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #L1 #H
-  elim (lfeq_inv_bind … H) -H /3 width=1 by cpx_bind/
-| #I #G #L2 #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #L1 #H
-  elim (lfeq_inv_flat … H) -H /3 width=1 by cpx_flat/
-| #G #L2 #V2 #T1 #T #T2 #_ #HT2 #IH #L1 #H
-  elim (lfeq_inv_bind … H) -H /3 width=3 by cpx_zeta/
-| #G #L2 #W1 #T1 #T2 #_ #IH #L1 #H
-  elim (lfeq_inv_flat … H) -H /3 width=1 by cpx_eps/
-| #G #L2 #W1 #W2 #T1 #_ #IH #L1 #H
-  elim (lfeq_inv_flat … H) -H /3 width=1 by cpx_ee/
-| #p #G #L2 #V1 #V2 #W1 #W2 #T1 #T2 #_ #_ #_ #IHV12 #IHW12 #IHT12 #L1 #H
-  elim (lfeq_inv_flat … H) -H #HV1 #H
-  elim (lfeq_inv_bind … H) -H /3 width=1 by cpx_beta/
-| #p #G #L2 #V1 #V #V2 #W1 #W2 #T1 #T2 #_ #_ #_ #IHV1 #IHW12 #IHT12 #HV2 #L1 #H
-  elim (lfeq_inv_flat … H) -H #HV1 #H
-  elim (lfeq_inv_bind … H) -H /3 width=3 by cpx_theta/
-]
-qed-.
-(*
-(* Basic_2A1: was: cpx_lleq_conf *)
-lemma cpx_lfeq_conf: ∀h,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ⬈[h] T2 →
-                     ∀L1. L2 ≘[T1] L1 → ⦃G, L1⦄ ⊢ T1 ⬈[h] T2.
-/3 width=3 by lfeq_cpx_trans, lfeq_sym/ qed-.
-*)
-(* Basic_2A1: was: cpx_lleq_conf_sn *)
-lemma cpx_lfeq_conf_sn: ∀h,G. s_r_confluent1 … (cpx h G) lfeq.
-/2 width=5 by cpx_lfxs_conf/ qed-.
-(*
-(* Basic_2A1: was: cpx_lleq_conf_dx *)
-lemma cpx_lfeq_conf_dx: ∀h,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ⬈[h] T2 →
-                        ∀L1. L1 ≘[T1] L2 → L1 ≘[T2] L2.
-/4 width=6 by cpx_lfeq_conf_sn, lfeq_sym/ qed-.
-*)