- parallel reduction for local environments: we proved the equivalence

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

diff --git a/matita/matita/contribs/lambda_delta/basic_2/computation/lcprs_aaa.ma b/matita/matita/contribs/lambda_delta/basic_2/computation/lcprs_aaa.ma
deleted file mode 100644 (file)
index 73a6261..0000000
--- a/matita/matita/contribs/lambda_delta/basic_2/computation/lcprs_aaa.ma
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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/reducibility/lcpr_aaa.ma".
-include "basic_2/computation/cprs.ma".
-include "basic_2/computation/lcprs.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS *************)
-
-(* Properties about atomic arity assignment on terms ************************)
-
-lemma aaa_lcprs_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.
-
-lemma aaa_cprs_conf: ∀L,T1,A. L ⊢ T1 ⁝ A → ∀T2. L ⊢ T1 ➡* T2 → L ⊢ T2 ⁝ A.
-#L #T1 #A #HT1 #T2 #HT12
-@(TC_Conf3 … HT1 ? HT12) /2 width=3/
-qed.
-
-lemma aaa_lcprs_cprs_conf: ∀L1,T1,A. L1 ⊢ T1 ⁝ A → ∀L2. L1 ⊢ ➡* L2 →
-                           ∀T2. L2 ⊢ T1 ➡* T2 → L2 ⊢ T2 ⁝ A.
-/3 width=3/ qed.