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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / fpr / fpcs_aaa.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fpr/fpcs_aaa.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fpr/fpcs_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/fprs_aaa.ma".
-include "basic_2/equivalence/fpcs_fpcs.ma".
-
-(* CONTEXT-FREE PARALLEL EQUIVALENCE ON CLOSURES ****************************)
-
-(* Main properties about atomic arity assignment on terms *******************)
-
-theorem aaa_fpcs_mono: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ⬌* ⦃L2, T2⦄ →
-                       ∀A1. L1 ⊢ T1 ⁝ A1 → ∀A2. L2 ⊢ T2 ⁝ A2 →
-                       A1 = A2.
-#L1 #L2 #T1 #T2 #H12 #A1 #HT1 #A2 #HT2
-elim (fpcs_inv_fprs … H12) -H12 #L #T #H1 #H2
-lapply (aaa_fprs_conf … HT1 … H1) -L1 -T1 #HT1
-lapply (aaa_fprs_conf … HT2 … H2) -L2 -T2 #HT2
-lapply (aaa_mono … HT1 … HT2) -L -T //
-qed-.