X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fsnv_aaa.ma;h=c289e2bbb625ea4ac480897ce3efb1dfc89e05e9;hb=c2211ba58807254e75c6321cbd688db462d80fd2;hp=cf5e7fcb1e23a7a5920db2a3d95d96438d493572;hpb=d8ddeb030acbf2246693dc0b65c321ee39e4328b;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 cf5e7fcb1..c289e2bbb 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_aaa.ma @@ -16,7 +16,6 @@ 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/cpds_aaa.ma". -include "basic_2/equivalence/cpcs_aaa.ma". include "basic_2/dynamic/snv.ma". (* STRATIFIED NATIVE VALIDITY FOR TERMS *************************************) @@ -28,14 +27,15 @@ lemma snv_fwd_aaa: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, g] → ∃A. ⦃G, L⦄ [ /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 #W #W0 #T #U #l #_ #_ #Hl #HVW #HW0 #HTU * #B #HV * #X #HT - lapply (cpds_aaa_conf h g … HV W0 ?) [ -HTU /3 width=4 by cpds_strap1, sta_cprs_cpds/ ] -W #HW0 (**) (* auto fail without -HTU *) - lapply (cpds_aaa_conf … HT … HTU) -HTU #H +| #a #G #L #V #W0 #T #U0 #l #_ #_ #HVW0 #HTU0 * #B #HV * #X #HT + lapply (cpds_aaa_conf … HV … HVW0) -HVW0 #HW0 + lapply (cpds_aaa_conf … HT … HTU0) -HTU0 #H 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 #W #T #U #l #_ #_ #_ #HTU #HUW * #B #HW * #A #HT - lapply (sta_aaa_conf … HT … HTU) -HTU #H - lapply (cpcs_aaa_mono … HUW … H … HW) -HUW -H #H destruct /3 width=3 by aaa_cast, ex_intro/ +| #G #L #U #T #U0 #_ #_ #HU0 #HTU0 * #B #HU * #A #HT + lapply (cprs_aaa_conf … HU … HU0) -HU0 #HU0 + lapply (cpds_aaa_conf … HT … HTU0) -HTU0 #H + lapply (aaa_mono … H … HU0) -U0 #H destruct /3 width=3 by aaa_cast, ex_intro/ ] qed-. @@ -58,11 +58,3 @@ lemma snv_lstas_fwd_correct: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ¡[h, g] → #h #g #G #L #T1 #T2 #l #HT1 #HT12 elim (snv_fwd_sta … HT1) -HT1 /2 width=5 by lstas_fwd_correct/ qed-. - -(* Advanced properties ******************************************************) - -lemma snv_scast: ∀h,g,G,L,V,W,l. ⦃G, L⦄ ⊢ V ¡[h, g] → ⦃G, L⦄ ⊢ W ¡[h, g] → - scast h g l G L V W → ⦃G, L⦄ ⊢V ▪[h, g] l+1 → ⦃G, L⦄ ⊢ ⓝW.V ¡[h, g]. -#h #g #G #L #V #W #l #HV #HW #H #Hl -elim (snv_fwd_sta … HV) /4 width=6 by snv_cast, sta_lstas/ -qed-.