X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fnv_fqus.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fnv_fqus.ma;h=0000000000000000000000000000000000000000;hb=282511a928532676813d99d08594cd5f98fcb80e;hp=af3fba488515d4c036cde58bda7edd2ceedd52df;hpb=730642efca3fb00ca4f8268bd97b0778cff14514;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nv_fqus.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nv_fqus.ma deleted file mode 100644 index af3fba488..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nv_fqus.ma +++ /dev/null @@ -1,64 +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/s_computation/fqus_fqup.ma". -include "basic_2/dynamic/nv_drops.ma". - -(* NATIVE VALIDITY FOR TERMS ************************************************) - -(* Properties with supclosure ***********************************************) - -(* Basic_2A1: uses: snv_fqu_conf *) -lemma nv_fqu_conf (a) (h): ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ → - ⦃G1, L1⦄ ⊢ T1 ![a, h] → ⦃G2, L2⦄ ⊢ T2 ![a, h]. -#a #h #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2 -[ #I1 #G1 #L1 #V1 #H - elim (nv_inv_zero … H) -H #I2 #L2 #V2 #HV2 #H destruct // -| * [ #p #I1 | * ] #G1 #L1 #V1 #T1 #H - [ elim (nv_inv_bind … H) -H // - | elim (nv_inv_appl … H) -H // - | elim (nv_inv_cast … H) -H // - ] -| #p #I1 #G1 #L1 #V1 #T1 #H - elim (nv_inv_bind … H) -H // -| #p #I1 #G1 #L1 #V1 #T1 #H destruct -| * #G1 #L1 #V1 #T1 #H - [ elim (nv_inv_appl … H) -H // - | elim (nv_inv_cast … H) -H // - ] -| #I1 #G1 #L1 #T1 #U1 #HTU1 #HU - /4 width=7 by nv_inv_lifts, drops_refl, drops_drop/ -] -qed-. - -(* Basic_2A1: uses: snv_fquq_conf *) -lemma nv_fquq_conf (a) (h): ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2, L2, T2⦄ → - ⦃G1, L1⦄ ⊢ T1 ![a, h] → ⦃G2, L2⦄ ⊢ T2 ![a, h]. -#a #h #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -H [|*] -/2 width=5 by nv_fqu_conf/ -qed-. - -(* Basic_2A1: uses: snv_fqup_conf *) -lemma nv_fqup_conf (a) (h): ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄ → - ⦃G1, L1⦄ ⊢ T1 ![a, h] → ⦃G2, L2⦄ ⊢ T2 ![a, h]. -#a #h #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2 -/3 width=5 by fqup_strap1, nv_fqu_conf/ -qed-. - -(* Basic_2A1: uses: snv_fqus_conf *) -lemma nv_fqus_conf (a) (h): ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐* ⦃G2, L2, T2⦄ → - ⦃G1, L1⦄ ⊢ T1 ![a, h] → ⦃G2, L2⦄ ⊢ T2 ![a, h]. -#a #h #G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqus_inv_fqup … H) -H [|*] -/2 width=5 by nv_fqup_conf/ -qed-.