milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / fpbc / fpbg.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fpbc/fpbg.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fpbc/fpbg.etc
deleted file mode 100644 (file)
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--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fpbc/fpbg.etc
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/lazybtpredstarproper_8.ma".
-include "basic_2/reduction/fpbc.ma".
-
-(* "QRST" PROPER PARALLEL COMPUTATION FOR CLOSURES **************************)
-
-definition fpbg: ∀h. sd h → tri_relation genv lenv term ≝
-                 λh,g. tri_TC … (fpbc h g).
-
-interpretation "'qrst' proper parallel computation (closure)"
-   'LazyBTPRedStarProper h g G1 L1 T1 G2 L2 T2 = (fpbg h g G1 L1 T1 G2 L2 T2).
-
-(* Basic properties *********************************************************)
-
-lemma fpbc_fpbg: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻≡[h, g] ⦃G2, L2, T2⦄ →
-                 ⦃G1, L1, T1⦄ >≡[h, g] ⦃G2, L2, T2⦄.
-/2 width=1 by tri_inj/ qed.
-
-lemma fpbg_strap1: ∀h,g,G1,G,G2,L1,L,L2,T1,T,T2.
-                   ⦃G1, L1, T1⦄ >≡[h, g] ⦃G, L, T⦄ → ⦃G, L, T⦄ ≻≡[h, g] ⦃G2, L2, T2⦄ →
-                   ⦃G1, L1, T1⦄ >≡[h, g] ⦃G2, L2, T2⦄.
-/2 width=5 by tri_step/ qed.
-
-lemma fpbg_strap2: ∀h,g,G1,G,G2,L1,L,L2,T1,T,T2.
-                   ⦃G1, L1, T1⦄ ≻≡[h, g] ⦃G, L, T⦄ → ⦃G, L, T⦄ >≡[h, g] ⦃G2, L2, T2⦄ →
-                   ⦃G1, L1, T1⦄ >≡[h, g] ⦃G2, L2, T2⦄.
-/2 width=5 by tri_TC_strap/ qed.
-
-lemma fpbu_fpbg: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻[h,g] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >≡[h, g] ⦃G2, L2, T2⦄.
-/3 width=1 by fpbu_fpbc, fpbc_fpbg/ qed.
-
-(* Basic eliminators ********************************************************)
-
-lemma fpbg_ind: ∀h,g,G1,L1,T1. ∀R:relation3 ….
-                (∀G2,L2,T2. ⦃G1, L1, T1⦄ ≻≡[h, g] ⦃G2, L2, T2⦄ → R G2 L2 T2) →
-                (∀G,G2,L,L2,T,T2. ⦃G1, L1, T1⦄ >≡[h, g] ⦃G, L, T⦄ → ⦃G, L, T⦄ ≻≡[h, g] ⦃G2, L2, T2⦄ → R G L T → R G2 L2 T2) →
-                ∀G2,L2,T2. ⦃G1, L1, T1⦄ >≡[h, g] ⦃G2, L2, T2⦄ → R G2 L2 T2.
-#h #g #G1 #L1 #T1 #R #IH1 #IH2 #G2 #L2 #T2 #H
-@(tri_TC_ind … IH1 IH2 G2 L2 T2 H)
-qed-.
-
-lemma fpbg_ind_dx: ∀h,g,G2,L2,T2. ∀R:relation3 ….
-                   (∀G1,L1,T1. ⦃G1, L1, T1⦄ ≻≡[h, g] ⦃G2, L2, T2⦄ → R G1 L1 T1) →
-                   (∀G1,G,L1,L,T1,T. ⦃G1, L1, T1⦄ ≻≡[h, g] ⦃G, L, T⦄ → ⦃G, L, T⦄ >≡[h, g] ⦃G2, L2, T2⦄ → R G L T → R G1 L1 T1) →
-                   ∀G1,L1,T1. ⦃G1, L1, T1⦄ >≡[h, g] ⦃G2, L2, T2⦄ → R G1 L1 T1.
-#h #g #G2 #L2 #T2 #R #IH1 #IH2 #G1 #L1 #T1 #H
-@(tri_TC_ind_dx … IH1 IH2 G1 L1 T1 H)
-qed-.