X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxe.ma;h=e71eebdc4fc1a4231fd14d594bace8f776b916c6;hb=f694e3336cbdabdeefd86f85d827edfd26bf3464;hp=00fd04247f90aefe5d1ee428c42c2cbc421e3566;hpb=b1c1894b6ee9a48c3b0bacd09be00938d8e20341;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxe.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxe.ma index 00fd04247..e71eebdc4 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxe.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxe.ma @@ -19,14 +19,14 @@ include "basic_2/computation/csx.ma". (* EVALUATION FOR CONTEXT-SENSITIVE EXTENDED PARALLEL REDUCTION ON TERMS ****) definition cpxe: ∀h. sd h → relation4 genv lenv term term ≝ - λh,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡*[h, o] T2 ∧ ⦃G, L⦄ ⊢ ➡[h, o] 𝐍⦃T2⦄. + λh,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h, o] T2 ∧ ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T2⦄. interpretation "evaluation for context-sensitive extended parallel reduction (term)" 'PRedEval h o G L T1 T2 = (cpxe h o G L T1 T2). (* Basic properties *********************************************************) -lemma csx_cpxe: ∀h,o,G,L,T1. ⦃G, L⦄ ⊢ ⬊*[h, o] T1 → ∃T2. ⦃G, L⦄ ⊢ T1 ➡*[h, o] 𝐍⦃T2⦄. +lemma csx_cpxe: ∀h,o,G,L,T1. ⦃G, L⦄ ⊢ ⬊*[h, o] T1 → ∃T2. ⦃G, L⦄ ⊢ T1 ⬈*[h, o] 𝐍⦃T2⦄. #h #o #G #L #T1 #H @(csx_ind … H) -T1 #T1 #_ #IHT1 elim (cnx_dec h o G L T1) /3 width=3 by ex_intro, conj/ * #T #H1T1 #H2T1 elim (IHT1 … H1T1 H2T1) -IHT1 -H2T1