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milestone update in ground_2 and basic_2A
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / lpc / lfpcs_aaa.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lpc/lfpcs_aaa.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lpc/lfpcs_aaa.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                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "basic_2/computation/lfprs_aaa.ma".
-include "basic_2/equivalence/lfpcs_lfpcs.ma".
-
-(* FOCALIZED PARALLEL EQUIVALENCE ON LOCAL ENVIRONMENTS *********************)
-
-(* Main properties about atomic arity assignment on terms *******************)
-
-theorem aaa_lfpcs_mono: ∀L1,L2. ⦃L1⦄ ⬌* ⦃L2⦄ →
-                        ∀T,A1. L1 ⊢ T ⁝ A1 → ∀A2. L2 ⊢ T ⁝ A2 →
-                        A1 = A2.
-#L1 #L2 #HL12 #T #A1 #HT1 #A2 #HT2
-elim (lfpcs_inv_lfprs … HL12) -HL12 #L #HL1 #HL2
-lapply (aaa_lfprs_conf … HT1 … HL1) -L1 #HT1
-lapply (aaa_lfprs_conf … HT2 … HL2) -L2 #HT2
-lapply (aaa_mono … HT1 … HT2) -L -T //
-qed-.