X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fetc%2Fcpr%2Fssta_ltpss_sn.etc;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fetc%2Fcpr%2Fssta_ltpss_sn.etc;h=0000000000000000000000000000000000000000;hb=09b4420070d6a71990e16211e499b51dbb0742cb;hp=d554f1fe4dd861e0ffcb4957aee994084e8c1ec5;hpb=bba53a83579540bc3925d47d679e2aad22e85755;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/cpr/ssta_ltpss_sn.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/cpr/ssta_ltpss_sn.etc deleted file mode 100644 index d554f1fe4..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/etc/cpr/ssta_ltpss_sn.etc +++ /dev/null @@ -1,53 +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/unfold/ltpss_sn_alt.ma". -include "basic_2/static/ssta_ltpss_dx.ma". - -(* STRATIFIED STATIC TYPE ASSIGNMENT ON TERMS *******************************) - -(* Properties about sn parallel unfold **************************************) - -lemma ssta_ltpss_sn_conf: ∀h,g,L1,T,U1,l. ⦃h, L1⦄ ⊢ T •[g] ⦃l, U1⦄ → - ∀L2,d,e. L1 ⊢ ▶* [d, e] L2 → - ∃∃U2. ⦃h, L2⦄ ⊢ T •[g] ⦃l, U2⦄ & L1 ⊢ U1 ▶* [d, e] U2. -#h #g #L1 #T #U1 #l #HTU1 #L2 #d #e #HL12 -lapply (ltpss_sn_ltpssa … HL12) -HL12 #HL12 -@(ltpssa_ind … HL12) -L2 [ /2 width=3/ ] -HTU1 -#L #L2 #HL1 #HL2 * #U #HTU #HU1 -lapply (ltpssa_ltpss_sn … HL1) -HL1 #HL1 -elim (ssta_ltpss_dx_conf … HTU … HL2) -HTU #U2 #HTU2 #HU2 -lapply (ltpss_dx_tpss_trans_eq … HU2 … HL2) -HU2 -HL2 #HU2 -lapply (ltpss_sn_tpss_trans_eq … HU2 … HL1) -HU2 -HL1 #HU2 -lapply (tpss_trans_eq … HU1 HU2) -U /2 width=3/ -qed. - -lemma ssta_ltpss_sn_tpss_conf: ∀h,g,L1,T1,U1,l. ⦃h, L1⦄ ⊢ T1 •[g] ⦃l, U1⦄ → - ∀L2,d,e. L1 ⊢ ▶* [d, e] L2 → - ∀T2. L2 ⊢ T1 ▶* [d, e] T2 → - ∃∃U2. ⦃h, L2⦄ ⊢ T2 •[g] ⦃l, U2⦄ & - L1 ⊢ U1 ▶* [d, e] U2. -#h #g #L1 #T1 #U1 #l #HTU1 #L2 #d #e #HL12 #T2 #HT12 -elim (ssta_ltpss_sn_conf … HTU1 … HL12) -HTU1 #U #HT1U #HU1 -elim (ssta_tpss_conf … HT1U … HT12) -T1 #U2 #HTU2 #HU2 -lapply (ltpss_sn_tpss_trans_eq … HU2 … HL12) -HU2 -HL12 #HU2 -lapply (tpss_trans_eq … HU1 HU2) -U /2 width=3/ -qed. - -lemma ssta_ltpss_sn_tps_conf: ∀h,g,L1,T1,U1,l. ⦃h, L1⦄ ⊢ T1 •[g] ⦃l, U1⦄ → - ∀L2,d,e. L1 ⊢ ▶* [d, e] L2 → - ∀T2. L2 ⊢ T1 ▶ [d, e] T2 → - ∃∃U2. ⦃h, L2⦄ ⊢ T2 •[g] ⦃l, U2⦄ & - L1 ⊢ U1 ▶* [d, e] U2. -/3 width=3/ qed.