X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fetc%2Fsstas%2Fsstas_ltpss.etc;fp=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fetc%2Fsstas%2Fsstas_ltpss.etc;h=0000000000000000000000000000000000000000;hb=e8998d29ab83e7b6aa495a079193705b2f6743d3;hp=e0aa94207a75b77c50b247dfa833d5b6d1f164a6;hpb=bde429ac54e48de74b3d8b1df72dfcb86aa9bae5;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/basic_2/etc/sstas/sstas_ltpss.etc b/matita/matita/contribs/lambda_delta/basic_2/etc/sstas/sstas_ltpss.etc deleted file mode 100644 index e0aa94207..000000000 --- a/matita/matita/contribs/lambda_delta/basic_2/etc/sstas/sstas_ltpss.etc +++ /dev/null @@ -1,55 +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/static/ssta_ltpss.ma". -include "basic_2/unwind/sstas.ma". - -(* ITERATED STRATIFIED STATIC TYPE ASSIGNMENTON TERMS ***********************) - -(* Properties about parallel unfold *****************************************) - -lemma sstas_ltpss_tpss_conf: ∀h,g,L1,T1,U1. ⦃h, L1⦄ ⊢ T1 •*[g] U1 → - ∀L2,d,e. L1 ▶* [d, e] L2 → - ∀T2. L2 ⊢ T1 ▶* [d, e] T2 → - ∃∃U2. ⦃h, L2⦄ ⊢ T2 •*[g] U2 & - L2 ⊢ U1 ▶* [d, e] U2. -#h #g #L1 #T1 #U1 #H @(sstas_ind_alt … H) -T1 -[ #T1 #HUT1 #L2 #d #e #HL12 #U2 #HU12 - elim (ssta_ltpss_tpss_conf … HUT1 … HL12 … HU12) -HUT1 -HL12 /3 width=3/ -| #T0 #U0 #l0 #HTU0 #_ #IHU01 #L2 #d #e #HL12 #T #HT0 - elim (ssta_ltpss_tpss_conf … HTU0 … HL12 … HT0) -HTU0 -HT0 #U #HTU #HU0 - elim (IHU01 … HL12 … HU0) -IHU01 -HL12 -U0 /3 width=4/ -] -qed. - -lemma sstas_ltpss_tps_conf: ∀h,g,L1,T1,U1. ⦃h, L1⦄ ⊢ T1 •*[g] U1 → - ∀L2,d,e. L1 ▶* [d, e] L2 → - ∀T2. L2 ⊢ T1 ▶ [d, e] T2 → - ∃∃U2. ⦃h, L2⦄ ⊢ T2 •*[g] U2 & L2 ⊢ U1 ▶* [d, e] U2. -/3 width=5/ qed. - -lemma sstas_ltpss_conf: ∀h,g,L1,T,U1. ⦃h, L1⦄ ⊢ T •*[g] U1 → - ∀L2,d,e. L1 ▶* [d, e] L2 → - ∃∃U2. ⦃h, L2⦄ ⊢ T •*[g] U2 & L2 ⊢ U1 ▶* [d, e] U2. -/2 width=5/ qed. - -lemma sstas_tpss_conf: ∀h,g,L,T1,U1. ⦃h, L⦄ ⊢ T1 •*[g] U1 → - ∀T2,d,e. L ⊢ T1 ▶* [d, e] T2 → - ∃∃U2. ⦃h, L⦄ ⊢ T2 •*[g] U2 & L ⊢ U1 ▶* [d, e] U2. -/2 width=5/ qed. - -lemma sstas_tps_conf: ∀h,g,L,T1,U1. ⦃h, L⦄ ⊢ T1 •*[g] U1 → - ∀T2,d,e. L ⊢ T1 ▶ [d, e] T2 → - ∃∃U2. ⦃h, L⦄ ⊢ T2 •*[g] U2 & L ⊢ U1 ▶* [d, e] U2. -/2 width=5/ qed.