X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fetc%2Fscpes%2Fscpes.etc;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fetc%2Fscpes%2Fscpes.etc;h=0000000000000000000000000000000000000000;hb=db020b4218272e2e35641ce3bc3b0a9b3afda899;hp=657763483f12003e02fcf0b124996bcd7f3ac7af;hpb=d8f6494f48aa08bb32d9d1ac82fc16e9e41b76ac;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/scpes/scpes.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/scpes/scpes.etc deleted file mode 100644 index 657763483..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/etc/scpes/scpes.etc +++ /dev/null @@ -1,37 +0,0 @@ -(**************************************************************************) -(* ___ *) -(* ||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-.