X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fsnv_aaa.ma;h=73aa7ccd9b222da058ee7d3fcd9036d29c258f28;hb=c903bdd93123e6fc2ad63a951024da80c9c28307;hp=d663b30097e6dff24c7fbbf407ab2c97e6dbd670;hpb=5a35a42e23b2f343f0241eeb6648bf05f31720db;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_aaa.ma index d663b3009..73aa7ccd9 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_aaa.ma @@ -20,12 +20,12 @@ include "basic_2/dynamic/snv.ma". (* Forward lemmas on atomic arity assignment for terms **********************) -lemma snv_fwd_aaa: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, g] → ∃A. ⦃G, L⦄ ⊢ T ⁝ A. -#h #g #G #L #T #H elim H -G -L -T +lemma snv_fwd_aaa: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, o] → ∃A. ⦃G, L⦄ ⊢ T ⁝ A. +#h #o #G #L #T #H elim H -G -L -T [ /2 width=2 by aaa_sort, ex_intro/ | #I #G #L #K #V #i #HLK #_ * /3 width=6 by aaa_lref, ex_intro/ | #a * #G #L #V #T #_ #_ * #B #HV * #A #HA /3 width=2 by aaa_abbr, aaa_abst, ex_intro/ -| #a #G #L #V #W0 #T #U0 #l #_ #_ #HVW0 #HTU0 * #B #HV * #X #HT +| #a #G #L #V #W0 #T #U0 #d #_ #_ #HVW0 #HTU0 * #B #HV * #X #HT lapply (scpds_aaa_conf … HV … HVW0) -HVW0 #HW0 lapply (scpds_aaa_conf … HT … HTU0) -HTU0 #H elim (aaa_inv_abst … H) -H #B0 #A #H1 #HU #H2 destruct @@ -39,12 +39,12 @@ qed-. (* Advanced forward lemmas **************************************************) -lemma snv_fwd_da: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, g] → ∃l. ⦃G, L⦄ ⊢ T ▪[h, g] l. -#h #g #G #L #T #H elim (snv_fwd_aaa … H) -H /2 width=2 by aaa_da/ +lemma snv_fwd_da: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, o] → ∃d. ⦃G, L⦄ ⊢ T ▪[h, o] d. +#h #o #G #L #T #H elim (snv_fwd_aaa … H) -H /2 width=2 by aaa_da/ qed-. -lemma snv_fwd_lstas: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, g] → - ∀l. ∃U. ⦃G, L⦄ ⊢ T •*[h, l] U. -#h #g #G #L #T #H #l elim (snv_fwd_aaa … H) -H -#A #HT elim (aaa_lstas h … HT l) -HT /2 width=2 by ex_intro/ +lemma snv_fwd_lstas: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, o] → + ∀d. ∃U. ⦃G, L⦄ ⊢ T •*[h, d] U. +#h #o #G #L #T #H #d elim (snv_fwd_aaa … H) -H +#A #HT elim (aaa_lstas h … HT d) -HT /2 width=2 by ex_intro/ qed-.