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Merge branch 'matita-lablgtk3' of ssh://matita.cs.unibo.it:/srv/git/helm into matita...
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc / scpes / scpes.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/scpes/scpes.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/scpes/scpes.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/notation/relations/dpconvstar_8.ma".
-include "basic_2/computation/scpds.ma".
-
-(* STRATIFIED DECOMPOSED PARALLEL EQUIVALENCE FOR TERMS *********************)
-
-definition scpes: ∀h. sd h → nat → nat → relation4 genv lenv term term ≝
-                  λh,o,d1,d2,G,L,T1,T2.
-                  ∃∃T. ⦃G, L⦄ ⊢ T1 •*➡*[h, o, d1] T & ⦃G, L⦄ ⊢ T2 •*➡*[h, o, d2] T.
-
-interpretation "stratified decomposed parallel equivalence (term)"
-   'DPConvStar h o d1 d2 G L T1 T2 = (scpes h o d1 d2 G L T1 T2).
-
-(* Basic properties *********************************************************)
-
-lemma scpds_div: ∀h,o,G,L,T1,T2,T,d1,d2.
-                 ⦃G, L⦄ ⊢ T1 •*➡*[h, o, d1] T → ⦃G, L⦄ ⊢ T2 •*➡*[h, o, d2] T →
-                 ⦃G, L⦄ ⊢ T1 •*⬌*[h, o, d1, d2] T2.
-/2 width=3 by ex2_intro/ qed.
-
-lemma scpes_sym: ∀h,o,G,L,T1,T2,d1,d2. ⦃G, L⦄ ⊢ T1 •*⬌*[h, o, d1, d2] T2 →
-                 ⦃G, L⦄ ⊢ T2 •*⬌*[h, o, d2, d1] T1.
-#h #o #G #L #T1 #T2 #L1 #d2 * /2 width=3 by scpds_div/
-qed-.