X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fsnv_lsstas.ma;h=d13c47cd3ac1dfa04a85a90e2836a4289a9a2339;hb=f6a6221dcb90a12b04378ca2de86192e0e39f9ab;hp=42b307aaa3655b0d57a2683eff5b973c3e13e27f;hpb=d1b944b638846d98dfeb21fa6757e89c609be82a;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lsstas.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lsstas.ma index 42b307aaa..d13c47cd3 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lsstas.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lsstas.ma @@ -20,10 +20,10 @@ include "basic_2/dynamic/snv_cpcs.ma". (* Properties on nat-iterated stratified static type assignment for terms ***) fact snv_lsstas_aux: ∀h,g,G0,L0,T0. - (∀G1,L1,T1. ⦃G0, L0, T0⦄ ⊃≥[h, g] ⦃G1, L1, T1⦄ → IH_snv_cpr_lpr h g G1 L1 T1) → - (∀G1,L1,T1. ⦃G0, L0, T0⦄ ⊃≥[h, g] ⦃G1, L1, T1⦄ → IH_da_cpr_lpr h g G1 L1 T1) → - (∀G1,L1,T1. ⦃G0, L0, T0⦄ ⊃≥[h, g] ⦃G1, L1, T1⦄ → IH_lsstas_cpr_lpr h g G1 L1 T1) → - (∀G1,L1,T1. ⦃G0, L0, T0⦄ ⊃≥[h, g] ⦃G1, L1, T1⦄ → IH_snv_lsstas h g G1 L1 T1) → + (∀G1,L1,T1. ⦃G0, L0, T0⦄ >⋕[h, g] ⦃G1, L1, T1⦄ → IH_snv_cpr_lpr h g G1 L1 T1) → + (∀G1,L1,T1. ⦃G0, L0, T0⦄ >⋕[h, g] ⦃G1, L1, T1⦄ → IH_da_cpr_lpr h g G1 L1 T1) → + (∀G1,L1,T1. ⦃G0, L0, T0⦄ >⋕[h, g] ⦃G1, L1, T1⦄ → IH_lsstas_cpr_lpr h g G1 L1 T1) → + (∀G1,L1,T1. ⦃G0, L0, T0⦄ >⋕[h, g] ⦃G1, L1, T1⦄ → IH_snv_lsstas h g G1 L1 T1) → ∀G1,L1,T1. G0 = G1 → L0 = L1 → T0 = T1 → IH_snv_lsstas 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 @@ -37,19 +37,19 @@ fact snv_lsstas_aux: ∀h,g,G0,L0,T0. lapply (ldrop_mono … HLK0 … HLK1) -HLK0 #H destruct [ lapply (le_plus_to_le_r … Hl21) -Hl21 #Hl21 ] lapply (fqup_lref … G1 … HLK1) #H - lapply (ldrop_fwd_ldrop2 … HLK1) -HLK1 /4 width=8 by fqup_fpbr, snv_lift/ + lapply (ldrop_fwd_ldrop2 … HLK1) -HLK1 /4 width=8 by fqup_fpbg, snv_lift/ | #p #HG0 #HL0 #HT0 #H1 #l1 #l2 #Hl21 #Hl1 #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 elim (snv_inv_bind … H1) -H1 #HV1 #HT1 lapply (da_inv_bind … Hl1) -Hl1 #Hl1 - elim (lsstas_inv_bind1 … H2) -H2 #U1 #HTU1 #H destruct /4 width=8 by fqup_fpbr, snv_bind/ + elim (lsstas_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 #W0 #T0 #l0 #HV1 #HT1 #Hl0 #HVW1 #HW10 #HT10 lapply (da_inv_flat … Hl1) -Hl1 #Hl1 elim (lsstas_inv_appl1 … H2) -H2 #U1 #HTU1 #H destruct - lapply (IH1 … HT1 … Hl1 … HTU1) /2 width=1 by fqup_fpbr/ #HU1 - elim (lsstas_cpds_aux … IH1 IH4 IH3 IH2 … Hl1 … HTU1 … HT10) -IH4 -IH3 -IH2 -IH1 /2 width=1 by fqup_fpbr/ -T1 -l1 #X #l #_ #H #HU10 -l2 + lapply (IH1 … HT1 … Hl1 … HTU1) /2 width=1 by fqup_fpbg/ #HU1 + elim (lsstas_cpds_aux … IH1 IH4 IH3 IH2 … Hl1 … HTU1 … HT10) -IH4 -IH3 -IH2 -IH1 /2 width=1 by fqup_fpbg/ -T1 -l1 #X #l #_ #H #HU10 -l2 elim (lsstas_inv_bind1 … H) -H #U0 #_ #H destruct -T0 -l elim (cpes_inv_abst2 … HU10) -HU10 #W2 #U2 #HU12 #HU02 elim (cprs_inv_abst … HU02) -HU02 #HW02 #_ @@ -58,6 +58,6 @@ fact snv_lsstas_aux: ∀h,g,G0,L0,T0. [ lapply (lsstas_inv_O … H2) -H2 #H destruct // ] elim (snv_inv_cast … H1) -H1 lapply (da_inv_flat … Hl1) -Hl1 - lapply (lsstas_inv_cast1 … H2) -H2 /3 width=8 by fqup_fpbr/ + lapply (lsstas_inv_cast1 … H2) -H2 /3 width=8 by fqup_fpbg/ ] qed-.