X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=inline;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fsnv_lsstas.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fsnv_lsstas.ma;h=0000000000000000000000000000000000000000;hb=ff7754f834f937bfe2384c7703cf63f552885395;hp=a0ef9e99ea3bcf6959a307f428ce83f29d0ef933;hpb=4720368dcf18593959c6d21484f62fb5b61f3d26;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 deleted file mode 100644 index a0ef9e99e..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lsstas.ma +++ /dev/null @@ -1,63 +0,0 @@ -(**************************************************************************) -(* ___ *) -(* ||M|| *) -(* ||A|| A project by Andrea Asperti *) -(* ||T|| *) -(* ||I|| Developers: *) -(* ||T|| The HELM team. *) -(* ||A|| http://helm.cs.unibo.it *) -(* \ / *) -(* \ / This file is distributed under the terms of the *) -(* v GNU General Public License Version 2 *) -(* *) -(**************************************************************************) - -include "basic_2/dynamic/snv_lift.ma". -include "basic_2/dynamic/snv_cpcs.ma". - -(* STRATIFIED NATIVE VALIDITY FOR TERMS *************************************) - -(* 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 = 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 - >(lsstas_inv_sort1 … H2) -X // -| #i #HG0 #HL0 #HT0 #H1 #l1 #l2 @(nat_ind_plus … l2) -l2 [ #_ | #l2 #_ #Hl21 ] #Hl1 #X #H2 destruct -IH4 -IH3 -IH2 - [ lapply (lsstas_inv_O … H2) -H2 #H destruct // ] - elim (snv_inv_lref … H1) -H1 #I0 #K0 #X0 #HLK0 #HX0 - elim (da_inv_lref … Hl1) -Hl1 * #K1 [ #V1 | #W1 #l ] #HLK1 [ #Hl1 | #Hl #H ] - lapply (ldrop_mono … HLK0 … HLK1) -HLK0 #H0 destruct - elim (lsstas_inv_lref1 … H2) -H2 * #K0 #Y0 #X0 [2,4: #l0 ] #HLK0 [1,2: #HYl0 ] #HYX0 #HX0 - 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_drop2 … 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_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_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 #_ - /3 width=7 by snv_appl, cprs_trans/ -| #W1 #T1 #HG0 #HL0 #HT0 #H1 #l1 #l2 @(nat_ind_plus … l2) -l2 [ #_ | #l2 #_ #Hl21 ] #Hl1 #X #H2 destruct -IH4 -IH3 -IH2 - [ 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_fpbg/ -] -qed-.