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we reformulate the extended computation to simplify the proof of its
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reducibility / xpr.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/static/ssta.ma".
-include "basic_2/reducibility/cpr.ma".
-
-(* EXTENDED PARALLEL REDUCTION ON TERMS *************************************)
-
-inductive xpr (h) (g) (L) (T1) (T2): Prop ≝
-| xpr_cpr : L ⊢ T1 ➡ T2 → xpr h g L T1 T2
-| xpr_ssta: ∀l. ⦃h, L⦄ ⊢ T1 •[g, l + 1] T2 → xpr h g L T1 T2
-.
-
-interpretation
-   "extended parallel reduction (term)"
-   'XPRed h g L T1 T2 = (xpr h g L T1 T2).
-
-(* Basic properties *********************************************************)
-
-lemma xpr_refl: ∀h,g,L. reflexive … (xpr h g L).
-/2 width=1/ qed.