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milestone update in ground_2 and basic_2A
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / lpc / lfpc.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lpc/lfpc.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lpc/lfpc.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                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-notation "hvbox( ⦃ term 46 L1 ⦄ ⬌ ⬌ break ⦃ term 46 L2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPConvAlt $L1 $L2 }.
-
-include "basic_2/reducibility/lfpr.ma".
-
-(* FOCALIZED PARALLEL CONVERSION ON LOCAL ENVIRONMENTS **********************)
-
-definition lfpc: relation lenv ≝
-   λL1,L2. ⦃L1⦄ ➡ ⦃L2⦄ ∨ ⦃L2⦄ ➡ ⦃L1⦄.
-
-interpretation
-   "focalized parallel conversion (local environment)"
-   'FocalizedPConv L1 L2 = (lfpc L1 L2).
-
-(* Basic properties *********************************************************)
-
-lemma lfpc_refl: ∀L. ⦃L⦄ ⬌ ⦃L⦄.
-/2 width=1/ qed.
-
-lemma lfpc_sym: ∀L1,L2. ⦃L1⦄ ⬌ ⦃L2⦄ → ⦃L2⦄ ⬌ ⦃L1⦄.
-#L1 #L2 * /2 width=1/
-qed.
-
-lemma lfpc_lfpr: ∀L1,L2. ⦃L1⦄ ⬌ ⦃L2⦄ → ∃∃L. ⦃L1⦄ ➡ ⦃L⦄ & ⦃L2⦄ ➡ ⦃L⦄.
-#L1 #L2 * /2 width=3/
-qed.