milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2A / etc / lpc / lfpc.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2A/etc/lpc/lfpc.etc b/matita/matita/contribs/lambdadelta/basic_2A/etc/lpc/lfpc.etc
new file mode 100644 (file)
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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.