]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/ssta_ltpss_sn.etc
milestone update in ground_2 and basic_2A
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / cpr / ssta_ltpss_sn.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/ssta_ltpss_sn.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/ssta_ltpss_sn.etc
deleted file mode 100644 (file)
index d554f1f..0000000
+++ /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.