X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_aaa.ma;h=d8981613d1f1abb5f53b91a3c47b322e70689c9d;hb=dd93a0919b67bead0d4f07d49dfc198006edc9aa;hp=18e2459596ea08dffcbdc08acf48d66596d2c299;hpb=282511a928532676813d99d08594cd5f98fcb80e;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_aaa.ma index 18e245959..d8981613d 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_aaa.ma @@ -15,7 +15,7 @@ include "basic_2/rt_computation/cpms_aaa.ma". include "basic_2/dynamic/cnv.ma". -(* CONTEXT_SENSITIVE NATIVE VALIDITY FOR TERMS ******************************) +(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************) (* Forward lemmas on atomic arity assignment for terms **********************) @@ -40,3 +40,21 @@ lemma cnv_fwd_aaa (a) (h): ∀G,L,T. ⦃G, L⦄ ⊢ T ![a, h] → ∃A. ⦃G, L /3 width=3 by aaa_cast, ex_intro/ ] qed-. + +(* Forward lemmas with t_bound rt_transition for terms **********************) + +lemma cnv_fwd_cpm_SO (a) (h) (G) (L): + ∀T. ⦃G, L⦄ ⊢ T ![a, h] → ∃U. ⦃G,L⦄ ⊢ T ➡[1,h] U. +#a #h #G #L #T #H +elim (cnv_fwd_aaa … H) -H #A #HA +/2 width=2 by aaa_cpm_SO/ +qed-. + +(* Forward lemmas with t_bound rt_computation for terms *********************) + +lemma cnv_fwd_cpms_total (a) (h) (n) (G) (L): + ∀T. ⦃G, L⦄ ⊢ T ![a, h] → ∃U. ⦃G,L⦄ ⊢ T ➡*[n,h] U. +#a #h #n #G #L #T #H +elim (cnv_fwd_aaa … H) -H #A #HA +/2 width=2 by aaa_cpms_total/ +qed-.