update in static_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_feqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_feqx.ma
deleted file mode 100644 (file)
index c0e6a4b..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_feqx.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 "static_2/s_transition/fqu_teqx.ma".
-include "static_2/static/feqx.ma".
-include "basic_2/rt_transition/fpb_reqx.ma".
-
-(* PROPER PARALLEL RST-TRANSITION FOR CLOSURES ******************************)
-
-(* Properties with degree-based equivalence for closures ********************)
-
-(* Basic_2A1: uses: fleq_fpb_trans *)
-lemma feqx_fpb_trans:
-      ∀F1,F2,K1,K2,T1,T2. ❪F1,K1,T1❫ ≛ ❪F2,K2,T2❫ →
-      ∀G2,L2,U2. ❪F2,K2,T2❫ ≻ ❪G2,L2,U2❫ →
-      ∃∃G1,L1,U1. ❪F1,K1,T1❫ ≻ ❪G1,L1,U1❫ & ❪G1,L1,U1❫ ≛ ❪G2,L2,U2❫.
-#F1 #F2 #K1 #K2 #T1 #T2 * -F2 -K2 -T2
-#K2 #T2 #HK12 #HT12 #G2 #L2 #U2 #H12
-elim (teqx_fpb_trans … HT12 … H12) -T2 #K0 #T0 #H #HT0 #HK0
-elim (reqx_fpb_trans … HK12 … H) -K2 #L0 #U0 #H #HUT0 #HLK0
-@(ex2_3_intro … H) -H (**) (* full auto too slow *)
-/4 width=3 by feqx_intro_dx, reqx_trans, teqx_reqx_conf_sn, teqx_trans/
-qed-.
-
-(* Inversion lemmas with degree-based equivalence for closures **************)
-
-(* Basic_2A1: uses: fpb_inv_fleq *)
-lemma fpb_inv_feqx:
-      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≻ ❪G2,L2,T2❫ →
-      ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫ → ⊥.
-#G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2
-[ #G2 #L2 #T2 #H12 #H elim (feqx_inv_gen_sn … H) -H
-  /3 width=11 by reqx_fwd_length, fqu_inv_teqx/
-| #T2 #_ #HnT #H elim (feqx_inv_gen_sn … H) -H /2 width=1 by/
-| #L2 #_ #HnL #H elim (feqx_inv_gen_sn … H) -H /2 width=1 by/
-]
-qed-.