X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fsnv_lstas.ma;h=e8f7ff0b4efb61529217bc1990f34aba0d456431;hb=c60524dec7ace912c416a90d6b926bee8553250b;hp=3d4d1f35a995e6b6b542e924ae0e51c785eeab54;hpb=f10cfe417b6b8ec1c7ac85c6ecf5fb1b3fdf37db;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lstas.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lstas.ma index 3d4d1f35a..e8f7ff0b4 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lstas.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lstas.ma @@ -26,33 +26,33 @@ fact snv_lstas_aux: ∀h,g,G0,L0,T0. (∀G1,L1,T1. ⦃G0, L0, T0⦄ >≡[h, g] ⦃G1, L1, T1⦄ → IH_snv_lstas h g G1 L1 T1) → ∀G1,L1,T1. G0 = G1 → L0 = L1 → T0 = T1 → IH_snv_lstas h g G1 L1 T1. #h #g #G0 #L0 #T0 #IH4 #IH3 #IH2 #IH1 #G1 #L1 * * [|||| * ] -[ #k #HG0 #HL0 #HT0 #_ #l1 #l2 #Hl21 #Hl1 #X #H2 destruct -IH4 -IH3 -IH2 -IH1 +[ #k #HG0 #HL0 #HT0 #_ #d1 #d2 #Hd21 #Hd1 #X #H2 destruct -IH4 -IH3 -IH2 -IH1 >(lstas_inv_sort1 … H2) -X // -| #i #HG0 #HL0 #HT0 #H1 #l1 #l2 #Hl21 #Hl1 #T #H2 destruct -IH4 -IH3 -IH2 +| #i #HG0 #HL0 #HT0 #H1 #d1 #d2 #Hd21 #Hd1 #T #H2 destruct -IH4 -IH3 -IH2 elim (snv_inv_lref … H1) -H1 #I0 #K0 #X0 #HLK0 #HX0 - elim (da_inv_lref … Hl1) -Hl1 * #K1 [ #V1 | #W1 #l0 ] #HLK1 [ #Hl1 | #Hl0 #H ] + elim (da_inv_lref … Hd1) -Hd1 * #K1 [ #V1 | #W1 #d0 ] #HLK1 [ #Hd1 | #Hd0 #H ] lapply (drop_mono … HLK0 … HLK1) -HLK0 #H0 destruct - elim (lstas_inv_lref1 … H2) -H2 * #K #Y #X [3,6: #l ] #HLK #HYX [1,2: #HXT #H0 |3,5: #HXT |4,6: #H1 #H2 ] + elim (lstas_inv_lref1 … H2) -H2 * #K #Y #X [3,6: #d ] #HLK #HYX [1,2: #HXT #H0 |3,5: #HXT |4,6: #H1 #H2 ] lapply (drop_mono … HLK … HLK1) -HLK #H destruct - [ lapply (le_plus_to_le_r … Hl21) -Hl21 #Hl21 |3: -Hl21 ] + [ lapply (le_plus_to_le_r … Hd21) -Hd21 #Hd21 |3: -Hd21 ] lapply (fqup_lref … G1 … HLK1) #H lapply (drop_fwd_drop2 … HLK1) /4 width=8 by snv_lift, snv_lref, fqup_fpbg/ -| #p #HG0 #HL0 #HT0 #H1 #l1 #l2 #Hl21 #Hl1 #X #H2 destruct -IH4 -IH3 -IH2 -IH1 +| #p #HG0 #HL0 #HT0 #H1 #d1 #d2 #Hd21 #Hd1 #X #H2 destruct -IH4 -IH3 -IH2 -IH1 elim (snv_inv_gref … H1) -| #a #I #V1 #T1 #HG0 #HL0 #HT0 #H1 #l1 #l2 #Hl21 #Hl1 #X #H2 destruct -IH4 -IH3 -IH2 +| #a #I #V1 #T1 #HG0 #HL0 #HT0 #H1 #d1 #d2 #Hd21 #Hd1 #X #H2 destruct -IH4 -IH3 -IH2 elim (snv_inv_bind … H1) -H1 #HV1 #HT1 - lapply (da_inv_bind … Hl1) -Hl1 #Hl1 + lapply (da_inv_bind … Hd1) -Hd1 #Hd1 elim (lstas_inv_bind1 … H2) -H2 #U1 #HTU1 #H destruct /4 width=8 by fqup_fpbg, snv_bind/ -| #V1 #T1 #HG0 #HL0 #HT0 #H1 #l1 #l2 #Hl21 #Hl1 #X #H2 destruct - elim (snv_inv_appl … H1) -H1 #a #W1 #U1 #l0 #HV1 #HT1 #HVW1 #HTU1 - lapply (da_inv_flat … Hl1) -Hl1 #Hl1 +| #V1 #T1 #HG0 #HL0 #HT0 #H1 #d1 #d2 #Hd21 #Hd1 #X #H2 destruct + elim (snv_inv_appl … H1) -H1 #a #W1 #U1 #d0 #HV1 #HT1 #HVW1 #HTU1 + lapply (da_inv_flat … Hd1) -Hd1 #Hd1 elim (lstas_inv_appl1 … H2) -H2 #T0 #HT10 #H destruct - lapply (IH1 … HT1 … Hl1 … HT10) /2 width=1 by fqup_fpbg/ #HT0 - lapply (lstas_scpds_aux … IH1 IH4 IH3 IH2 … Hl1 … HT10 … HTU1) -IH4 -IH3 -IH2 -IH1 /2 width=1 by fqup_fpbg/ -T1 -l1 #H + lapply (IH1 … HT1 … Hd1 … HT10) /2 width=1 by fqup_fpbg/ #HT0 + lapply (lstas_scpds_aux … IH1 IH4 IH3 IH2 … Hd1 … HT10 … HTU1) -IH4 -IH3 -IH2 -IH1 /2 width=1 by fqup_fpbg/ -T1 -d1 #H elim (scpes_inv_abst2 … H) -H /3 width=6 by snv_appl, scpds_cprs_trans/ -| #U1 #T1 #HG0 #HL0 #HT0 #H1 #l1 #l2 #Hl21 #Hl1 #X #H2 destruct -IH4 -IH3 -IH2 +| #U1 #T1 #HG0 #HL0 #HT0 #H1 #d1 #d2 #Hd21 #Hd1 #X #H2 destruct -IH4 -IH3 -IH2 elim (snv_inv_cast … H1) -H1 - lapply (da_inv_flat … Hl1) -Hl1 + lapply (da_inv_flat … Hd1) -Hd1 lapply (lstas_inv_cast1 … H2) -H2 /3 width=8 by fqup_fpbg/ ] qed-.