- parallel reduction for local environments: we proved the equivalence

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / computation / lfprs_aaa.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/computation/lfprs_aaa.ma b/matita/matita/contribs/lambda_delta/basic_2/computation/lfprs_aaa.ma
new file mode 100644 (file)
index 0000000..a133778
--- /dev/null
+++ b/matita/matita/contribs/lambda_delta/basic_2/computation/lfprs_aaa.ma
@@ -0,0 +1,31 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/reducibility/lfpr_aaa.ma".
+include "basic_2/computation/lfprs.ma".
+
+(* FOCALIZED PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS *********************)
+
+(* Properties about atomic arity assignment on terms ************************)
+
+lemma aaa_lfprs_conf: ∀L1,T,A. L1 ⊢ T ⁝ A → ∀L2. ⦃L1⦄ ➡* ⦃L2⦄ → L2 ⊢ T ⁝ A.
+#L1 #T #A #HT #L2 #HL12
+@(TC_Conf3 … (λL,A. L ⊢ T ⁝ A) … HT ? HL12) /2 width=3/
+qed.
+(*
+(* Note: this should be rephrased in terms of fprs *)
+lemma aaa_lfprs_cprs_conf: ∀L1,T1,A. L1 ⊢ T1 ⁝ A → ∀L2. ⦃L1⦄ ➡* ⦃L2⦄ →
+                           ∀T2. L2 ⊢ T1 ➡* T2 → L2 ⊢ T2 ⁝ A.
+/3 width=3/ qed.
+*)