X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fsnv_aaa.ma;h=d947c016fc66afc3276cc1762f1990a513e86490;hb=86a84e4116a8d388cb540bae6c60700f84a8f9f8;hp=299070776e8cbb0c13f41d4ef3bac05ff35bab2e;hpb=472cb969d9a01a6d24eabc39ba20d1dc6adf1b04;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 299070776..d947c016f 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_aaa.ma @@ -13,7 +13,6 @@ (**************************************************************************) include "basic_2/static/da_aaa.ma". -include "basic_2/unfold/lstas_lift.ma". include "basic_2/computation/csx_aaa.ma". include "basic_2/computation/scpds_aaa.ma". include "basic_2/dynamic/snv.ma". @@ -33,7 +32,7 @@ lemma snv_fwd_aaa: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, g] → ∃A. ⦃G, L⦄ elim (aaa_inv_abst … H) -H #B0 #A #H1 #HU #H2 destruct lapply (aaa_mono … H1 … HW0) -W0 #H destruct /3 width=4 by aaa_appl, ex_intro/ | #G #L #U #T #U0 #_ #_ #HU0 #HTU0 * #B #HU * #A #HT - lapply (cprs_aaa_conf … HU … HU0) -HU0 #HU0 + lapply (scpds_aaa_conf … HU … HU0) -HU0 #HU0 lapply (scpds_aaa_conf … HT … HTU0) -HTU0 #H lapply (aaa_mono … H … HU0) -U0 #H destruct /3 width=3 by aaa_cast, ex_intro/ ] @@ -49,12 +48,8 @@ lemma snv_fwd_da: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, g] → ∃l. ⦃G, L⦄ #h #g #G #L #T #H elim (snv_fwd_aaa … H) -H /2 width=2 by aaa_da/ qed-. -lemma snv_fwd_sta: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, g] → ∃U. ⦃G, L⦄ ⊢ T •[h] U. -#h #g #G #L #T #H elim (snv_fwd_aaa … H) -H /2 width=2 by aaa_sta/ -qed-. - -lemma snv_lstas_fwd_correct: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ¡[h, g] → ⦃G, L⦄ ⊢ T1 •* [h, l] T2 → - ∃U2. ⦃G, L⦄ ⊢ T2 •[h] U2. -#h #g #G #L #T1 #T2 #l #HT1 #HT12 -elim (snv_fwd_sta … HT1) -HT1 /2 width=5 by lstas_fwd_correct/ +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/ qed-.