milestone update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq_fpb.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq_fpb.ma
deleted file mode 100644 (file)
index 7f0fa25..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq_fpb.ma
+++ /dev/null
@@ -1,65 +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/feqg_fqup.ma".
-include "static_2/static/feqg_feqg.ma".
-include "basic_2/rt_transition/fpb_feqg.ma".
-include "basic_2/rt_transition/fpbq.ma".
-
-(* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
-
-(* Properties with proper parallel rst-transition for closures **************)
-
-lemma fpb_fpbq:
-      ∀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
-/3 width=1 by fpbq_fquq, fpbq_cpx, fpbq_lpx, fqu_fquq/
-qed.
-
-(* Basic_2A1: fpb_fpbq_alt *)
-lemma fpb_fpbq_fneqx (S):
-      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≻ ❪G2,L2,T2❫ →
-      ∧∧ ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫ & (❪G1,L1,T1❫ ≛[S] ❪G2,L2,T2❫ → ⊥).
-/3 width=10 by fpb_fpbq, fpb_inv_feqg, conj/ qed-.
-
-(* Inversrion lemmas with proper parallel rst-transition for closures *******)
-
-(* Basic_2A1: fpbq_inv_fpb_alt *)
-lemma fpbq_fneqx_inv_fpb:
-      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≽ ❪G2,L2,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 * [2: * #H1 #H2 #H3 destruct ]
-  [ #H elim H -H /2 width=1 by feqg_refl/
-  | /2 width=1 by fpb_fqu/
-  ]
-| /4 width=1 by fpb_cpx, teqg_feqg/
-| /4 width=1 by fpb_lpx, feqg_intro_sn/
-| #G2 #L2 #T2 #H12 #Hn12
-  elim Hn12 -Hn12 //
-]
-qed-.
-
-(* Basic_2A1: uses: fpbq_ind_alt *)
-lemma fpbq_inv_fpb:
-      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫ →
-      ∨∨ ❪G1,L1,T1❫ ≅ ❪G2,L2,T2❫
-       | ❪G1,L1,T1❫ ≻ ❪G2,L2,T2❫.
-#G1 #G2 #L1 #L2 #T1 #T2 #H 
-elim (feqg_dec sfull … G1 G2 L1 L2 T1 T2) //
-[ /2 width=1 by or_introl/
-| /4 width=1 by fpbq_fneqx_inv_fpb, or_intror/
-]
-qed-.