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update in static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / cprs_tweq.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_tweq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_tweq.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 "static_2/syntax/tweq_tweq.ma".
-include "static_2/relocation/lifts_tweq.ma".
-include "basic_2/rt_transition/cpr_drops_basic.ma".
-include "basic_2/rt_computation/cpms.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL R-COMPUTATION FOR TERMS ***********************)
-
-(* Properties with sort-irrelevant whd equivalence on terms *****************)
-
-lemma cprs_abbr_pos_twneq (h) (G) (L) (V) (T1):
-      ∃∃T2. ❪G,L❫ ⊢ +ⓓV.T1 ➡*[h,0] T2 & (+ⓓV.T1 ≅ T2 → ⊥).
-#h #G #L #V #U1
-elim (cpr_subst h G (L.ⓓV) U1 … 0) [|*: /2 width=4 by drops_refl/ ] #U2 #T2 #HU12 #HTU2
-elim (tweq_dec U1 U2) [ #HpU12 | -HTU2 #HnU12 ]
-[ @(ex2_intro … T2) (**) (* full auto not tried *)
-  [ /3 width=6 by cpms_zeta, cpms_step_sn, cpm_bind/
-  | /4 width=6 by tweq_inv_abbr_pos_x_lifts_y_y, tweq_canc_sn, tweq_abbr_pos/
-  ]
-| /4 width=3 by cpm_cpms, cpm_bind, tweq_inv_abbr_pos_bi, ex2_intro/
-]
-qed-.