milestone update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq.ma
deleted file mode 100644 (file)
index 2a12bf0..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq.ma
+++ /dev/null
@@ -1,50 +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/notation/relations/predsubty_6.ma".
-include "static_2/static/feqx.ma".
-include "static_2/s_transition/fquq.ma".
-include "basic_2/rt_transition/lpr_lpx.ma".
-
-(* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
-
-(* Basic_2A1: includes: fleq_fpbq fpbq_lleq *)
-inductive fpbq (G1) (L1) (T1): relation3 genv lenv term ≝
-| fpbq_fquq: ∀G2,L2,T2. ❪G1,L1,T1❫ ⬂⸮ ❪G2,L2,T2❫ → fpbq G1 L1 T1 G2 L2 T2
-| fpbq_cpx : ∀T2. ❪G1,L1❫ ⊢ T1 ⬈ T2 → fpbq G1 L1 T1 G1 L1 T2
-| fpbq_lpx : ∀L2. ❪G1,L1❫ ⊢ ⬈ L2 → fpbq G1 L1 T1 G1 L2 T1
-| fpbq_feqx: ∀G2,L2,T2. ❪G1,L1,T1❫ ≅ ❪G2,L2,T2❫ → fpbq G1 L1 T1 G2 L2 T2
-.
-
-interpretation
-  "parallel rst-transition (closure)"
-  'PRedSubTy G1 L1 T1 G2 L2 T2 = (fpbq G1 L1 T1 G2 L2 T2).
-
-(* Basic properties *********************************************************)
-
-lemma fpbq_refl: tri_reflexive … fpbq.
-/2 width=1 by fpbq_cpx/ qed.
-
-(* Basic_2A1: includes: cpr_fpbq *)
-lemma cpm_fpbq (h) (n) (G) (L):
-      ∀T1,T2. ❪G,L❫ ⊢ T1 ➡[h,n] T2 → ❪G,L,T1❫ ≽ ❪G,L,T2❫.
-/3 width=3 by fpbq_cpx, cpm_fwd_cpx/ qed.
-
-lemma lpr_fpbq (h) (G) (T):
-      ∀L1,L2. ❪G,L1❫ ⊢ ➡[h,0] L2 → ❪G,L1,T❫ ≽ ❪G,L2,T❫.
-/3 width=2 by fpbq_lpx, lpr_fwd_lpx/ qed.
-
-(* Basic_2A1: removed theorems 2:
-              fpbq_fpbqa fpbqa_inv_fpbq
-*)