X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_preserve_cpes.ma;h=53af95906e66e5ace9c5e17748582cf349adc462;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=57b9fc3df83cefbeb7888ada62fb0c6b60261e17;hpb=db020b4218272e2e35641ce3bc3b0a9b3afda899;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_cpes.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_cpes.ma index 57b9fc3df..53af95906 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_cpes.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_cpes.ma @@ -12,30 +12,30 @@ (* *) (**************************************************************************) -include "basic_2/rt_computation/cpme_aaa.ma". -include "basic_2/rt_computation/cpre_cpre.ma". +include "basic_2/rt_computation/cpmre_aaa.ma". +include "basic_2/rt_computation/cprre_cprre.ma". include "basic_2/rt_equivalence/cpes.ma". -include "basic_2/dynamic/cnv_cpme.ma". +include "basic_2/dynamic/cnv_cpmre.ma". (* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************) (* Properties with t-bound rt-equivalence for terms *************************) lemma cnv_cpes_dec (h) (a) (n1) (n2) (G) (L): - ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] → ∀T2. ⦃G,L⦄ ⊢ T2 ![h,a] → - Decidable … (⦃G,L⦄ ⊢ T1 ⬌*[h,n1,n2] T2). + ∀T1. ❪G,L❫ ⊢ T1 ![h,a] → ∀T2. ❪G,L❫ ⊢ T2 ![h,a] → + Decidable … (❪G,L❫ ⊢ T1 ⬌*[h,n1,n2] T2). #h #a #n1 #n2 #G #L #T1 #HT1 #T2 #HT2 elim (cnv_fwd_aaa … HT1) #A1 #HA1 elim (cnv_fwd_aaa … HT2) #A2 #HA2 -elim (cpme_total_aaa h n1 … HA1) -HA1 #U1 #HTU1 -elim (cpme_total_aaa h n2 … HA2) -HA2 #U2 #HTU2 +elim (cpmre_total_aaa h n1 … HA1) -HA1 #U1 #HTU1 +elim (cpmre_total_aaa h n2 … HA2) -HA2 #U2 #HTU2 elim (eq_term_dec U1 U2) [ #H destruct | #HnU12 ] [ cases HTU1 -HTU1 #HTU1 #_ cases HTU2 -HTU2 #HTU2 #_ /3 width=3 by cpms_div, or_introl/ | @or_intror * #T0 #HT10 #HT20 - lapply (cnv_cpme_cpms_conf … HT1 … HT10 … HTU1) -T1 #H1 - lapply (cnv_cpme_cpms_conf … HT2 … HT20 … HTU2) -T2 #H2 - /3 width=6 by cpre_mono/ + lapply (cnv_cpmre_cpms_conf … HT1 … HT10 … HTU1) -T1 #H1 + lapply (cnv_cpmre_cpms_conf … HT2 … HT20 … HTU2) -T2 #H2 + /3 width=6 by cprre_mono/ ] qed-.