milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / lpc / lfpcs.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lpc/lfpcs.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lpc/lfpcs.etc
deleted file mode 100644 (file)
index 3674637..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lpc/lfpcs.etc
+++ /dev/null
@@ -1,76 +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                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-notation "hvbox( ⦃ term 46 L1 ⦄ ⬌ ⬌ * break ⦃ term 46 L2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPConvStarAlt $L1 $L2 }.
-
-include "basic_2/conversion/lfpc.ma".
-
-(* FOCALIZED PARALLEL EQUIVALENCE ON LOCAL ENVIRONMENTS *********************)
-
-definition lfpcs: relation lenv ≝ TC … lfpc.
-
-interpretation "focalized parallel equivalence (local environment)"
-   'FocalizedPConvStar L1 L2 = (lfpcs L1 L2).
-
-(* Basic eliminators ********************************************************)
-
-lemma lfpcs_ind: ∀L1. ∀R:predicate lenv. R L1 →
-                 (∀L,L2. ⦃L1⦄ ⬌* ⦃L⦄ → ⦃L⦄ ⬌ ⦃L2⦄ → R L → R L2) →
-                 ∀L2. ⦃L1⦄ ⬌* ⦃L2⦄ → R L2.
-#L1 #R #HL1 #IHL1 #L2 #HL12 @(TC_star_ind … HL1 IHL1 … HL12) //
-qed-.
-
-lemma lfpcs_ind_dx: ∀L2. ∀R:predicate lenv. R L2 →
-                    (∀L1,L. ⦃L1⦄ ⬌ ⦃L⦄ → ⦃L⦄ ⬌* ⦃L2⦄ → R L → R L1) →
-                    ∀L1. ⦃L1⦄ ⬌* ⦃L2⦄ → R L1.
-#L2 #R #HL2 #IHL2 #L1 #HL12
-@(TC_star_ind_dx … HL2 IHL2 … HL12) //
-qed-.
-
-(* Basic properties *********************************************************)
-
-lemma lfpcs_refl: reflexive … lfpcs.
-/2 width=1/ qed.
-
-lemma lfpcs_sym: symmetric … lfpcs.
-/3 width=1/ qed.
-
-lemma lfpc_lfpcs: ∀L1,L2. ⦃L1⦄ ⬌ ⦃L2⦄ → ⦃L1⦄ ⬌* ⦃L2⦄.
-/2 width=1/ qed.
-
-lemma lfpcs_strap1: ∀L1,L,L2. ⦃L1⦄ ⬌* ⦃L⦄ → ⦃L⦄ ⬌ ⦃L2⦄ → ⦃L1⦄ ⬌* ⦃L2⦄.
-/2 width=3/ qed.
-
-lemma lfpcs_strap2: ∀L1,L,L2. ⦃L1⦄ ⬌ ⦃L⦄ → ⦃L⦄ ⬌* ⦃L2⦄ → ⦃L1⦄ ⬌* ⦃L2⦄.
-/2 width=3/ qed.
-
-lemma lfpcs_lfpr_dx: ∀L1,L2. ⦃L1⦄ ➡ ⦃L2⦄ → ⦃L1⦄ ⬌* ⦃L2⦄.
-/3 width=1/ qed.
-
-lemma lfpcs_lfpr_sn: ∀L1,L2. ⦃L2⦄ ➡ ⦃L1⦄ → ⦃L1⦄ ⬌* ⦃L2⦄.
-/3 width=1/ qed.
-
-lemma lfpcs_lfpr_strap1: ∀L1,L. ⦃L1⦄ ⬌* ⦃L⦄ → ∀L2. ⦃L⦄ ➡ ⦃L2⦄ → ⦃L1⦄ ⬌* ⦃L2⦄.
-/3 width=3/ qed.
-
-lemma lfpcs_lfpr_strap2: ∀L1,L. ⦃L1⦄ ➡ ⦃L⦄ → ∀L2. ⦃L⦄ ⬌* ⦃L2⦄ → ⦃L1⦄ ⬌* ⦃L2⦄.
-/3 width=3/ qed.
-
-lemma lfpcs_lfpr_div: ∀L1,L. ⦃L1⦄ ⬌* ⦃L⦄ → ∀L2. ⦃L2⦄ ➡ ⦃L⦄ → ⦃L1⦄ ⬌* ⦃L2⦄.
-/3 width=3/ qed.
-
-lemma lfpcs_lfpr_conf: ∀L1,L. ⦃L⦄ ➡ ⦃L1⦄ → ∀L2. ⦃L⦄ ⬌* ⦃L2⦄ → ⦃L1⦄ ⬌* ⦃L2⦄.
-/3 width=3/ qed.