X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fetc%2Fcsup%2Fyprs.etc;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fetc%2Fcsup%2Fyprs.etc;h=0000000000000000000000000000000000000000;hb=ac7479f9a292448d12761da4345d668d74b8d308;hp=86dc0c1356a8db17b1f8950f88ced3bb9a4f3276;hpb=8910c1dc3fcc1da950d0c71f0f1a0150c5557520;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/csup/yprs.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/csup/yprs.etc deleted file mode 100644 index 86dc0c135..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/etc/csup/yprs.etc +++ /dev/null @@ -1,52 +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 *) -(* *) -(**************************************************************************) - -notation "hvbox( h ⊢ break ⦃ L1, break T1 ⦄ • ⥸ * break [ g ] break ⦃ L2 , break T2 ⦄ )" - non associative with precedence 45 - for @{ 'YPRedStar $h $g $L1 $T1 $L2 $T2 }. - -include "basic_2/reducibility/ypr.ma". - -(* HYPER PARALLEL COMPUTATION ON CLOSURES ***********************************) - -definition yprs: ∀h. sd h → bi_relation lenv term ≝ - λh,g. bi_TC … (ypr h g). - -interpretation "hyper parallel computation (closure)" - 'YPRedStar h g L1 T1 L2 T2 = (yprs h g L1 T1 L2 T2). - -(* Basic eliminators ********************************************************) - -lemma yprs_ind: ∀h,g,L1,T1. ∀R:relation2 lenv term. R L1 T1 → - (∀L,L2,T,T2. h ⊢ ⦃L1, T1⦄ •⥸*[g] ⦃L, T⦄ → h ⊢ ⦃L, T⦄ •⥸[g] ⦃L2, T2⦄ → R L T → R L2 T2) → - ∀L2,T2. h ⊢ ⦃L1, T1⦄ •⥸*[g] ⦃L2, T2⦄ → R L2 T2. -/3 width=7 by bi_TC_star_ind/ qed-. - -lemma yprs_ind_dx: ∀h,g,L2,T2. ∀R:relation2 lenv term. R L2 T2 → - (∀L1,L,T1,T. h ⊢ ⦃L1, T1⦄ •⥸[g] ⦃L, T⦄ → h ⊢ ⦃L, T⦄ •⥸*[g] ⦃L2, T2⦄ → R L T → R L1 T1) → - ∀L1,T1. h ⊢ ⦃L1, T1⦄ •⥸*[g] ⦃L2, T2⦄ → R L1 T1. -/3 width=7 by bi_TC_star_ind_dx/ qed-. - -(* Basic properties *********************************************************) - -lemma yprs_refl: ∀h,g. bi_reflexive … (yprs h g). -/2 width=1/ qed. - -lemma yprs_strap1: ∀h,g,L1,L,L2,T1,T,T2. h ⊢ ⦃L1, T1⦄ •⥸*[g] ⦃L, T⦄ → - h ⊢ ⦃L, T⦄ •⥸[g] ⦃L2, T2⦄ → h ⊢ ⦃L1, T1⦄ •⥸*[g] ⦃L2, T2⦄. -/2 width=4/ qed. - -lemma yprs_strap2: ∀h,g,L1,L,L2,T1,T,T2. h ⊢ ⦃L1, T1⦄ •⥸[g] ⦃L, T⦄ → - h ⊢ ⦃L, T⦄ •⥸*[g] ⦃L2, T2⦄ → h ⊢ ⦃L1, T1⦄ •⥸*[g] ⦃L2, T2⦄. -/2 width=4/ qed.