- some renaming and minor updates

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / equivalence / cpes_cpcs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpes_cpcs.ma b/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpes_cpcs.ma
deleted file mode 100644 (file)
index 569f46b..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpes_cpcs.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/computation/cpds_cpds.ma".
-include "basic_2/equivalence/cpcs_cpcs.ma".
-include "basic_2/equivalence/cpes.ma".
-
-(* DECOMPOSED EXTENDED PARALLEL EQUIVALENCE FOR TERMS ***********************)
-
-(* Inversion lemmas on parallel equivalence for terms ***********************)
-
-lemma cpes_inv_lstas_eq: ∀h,g,G,L,T1,T2,l1,l2. ⦃G, L⦄ ⊢ T1 •*⬌*[h, g, l1, l2] T2 →
-                         ∀U1. ⦃G, L⦄ ⊢ T1 •*[h, l1] U1 →
-                         ∀U2. ⦃G, L⦄ ⊢ T2 •*[h, l2] U2 → ⦃G, L⦄ ⊢ U1 ⬌* U2.
-#h #g #G #L #T1 #T2 #l1 #l2 * #T #HT1 #HT2 #U1 #HTU1 #U2 #HTU2
-/3 width=8 by cpds_inv_lstas_eq, cprs_div/
-qed-.
-
-(* Properties on parallel equivalence for terms ***********************)
-
-lemma cpcs_cpes: ∀h,g,G,L,T1,l11. ⦃G, L⦄ ⊢ T1 ▪[h, g] l11 →
-                 ∀U1,l12. l12 ≤ l11 → ⦃G, L⦄ ⊢ T1 •*[h, l12] U1 →
-                 ∀T2,l21. ⦃G, L⦄ ⊢ T2 ▪[h, g] l21 →
-                 ∀U2,l22. l22 ≤ l21 → ⦃G, L⦄ ⊢ T2 •*[h, l22] U2 →
-                 ⦃G, L⦄ ⊢ U1 ⬌* U2 → ⦃G, L⦄ ⊢ T1 •*⬌*[h, g, l12, l22] T2.
-#h #g #G #L #T1 #l11 #HT1 #U1 #l12 #Hl121 #HTU1 #T2 #l21 #HT2 #U2 #l22 #Hl221 #HTU2 #HU12
-elim (cpcs_inv_cprs … HU12) -HU12 /3 width=6 by cpds_div, ex4_2_intro/
-qed.