- local environment refinement for the first recursive lemma on validity preservation

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / equivalence / lsubse_cpcs.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/equivalence/lsubse_cpcs.ma b/matita/matita/contribs/lambda_delta/basic_2/equivalence/lsubse_cpcs.ma
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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "basic_2/equivalence/cpcs_cpcs.ma".
+include "basic_2/equivalence/lsubse.ma".
+
+(* LOCAL ENVIRONMENT REFINEMENT FOR CONTEXT-SENSITIVE PARALLEL EQUIVALENCE **)
+
+(* Properties on context-sensitive parallel equivalence for terms ***********)
+
+lemma lsubse_cpcs_trans: ∀h,g,L1,L2. h ⊢ L1 ⊢•⊑[g] L2 →
+                         ∀T1,T2. L2 ⊢ T1 ⬌* T2 → L1 ⊢ T1 ⬌* T2.
+/3 width=5 by lsubse_fwd_lsubs2, cpcs_lsubs_trans/
+qed-.