- lambda_delta: programmed renaming to lambdadelta

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc / lsubsv / lsubsv_snv.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/lsubsv/lsubsv_snv.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/lsubsv/lsubsv_snv.etc
new file mode 100644 (file)
index 0000000..e5bd995
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/etc/lsubsv/lsubsv_snv.etc
@@ -0,0 +1,52 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/lsubsv_ldrop.ma".
+include "basic_2/dynamic/lsubsv_ssta.ma".
+include "basic_2/dynamic/lsubsv_cpcs.ma".
+
+(* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
+
+(* Properties concerning stratified native validity *************************)
+
+axiom lsubsv_xprs_trans: ∀h,g,L1,L2. h ⊢ L1 ⊩:⊑[g] L2 →
+                         ∀T1,T2. ⦃h, L2⦄ ⊢ T1 •➡*[g] T2 → ⦃h, L1⦄ ⊢ T1 •➡*[g] T2.
+(*
+/3 width=3 by lsubsv_fwd_lsubss, lsubss_xprs_trans/ qed-.
+*)
+axiom lsubsv_snv_trans: ∀h,g,L2,T. ⦃h, L2⦄ ⊩ T :[g] →
+                        ∀L1. h ⊢ L1 ⊩:⊑[g] L2 → ⦃h, L1⦄ ⊩ T :[g].
+(*
+#h #g #L2 #T #H elim H -L2 -T //
+[ #I2 #L2 #K2 #V2 #i #HLK2 #_ #IHV2 #L1 #HL12
+  elim (lsubsv_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
+  elim (lsubsv_inv_pair2 … H) -H * #K1 [ | -IHV2 ]
+  [ #HK12 #H destruct /3 width=5/
+  | #V1 #l #HV1 #_ #_ #_ #H destruct /2 width=5/
+  ]
+| #a #I #L2 #V #T #_ #_ #IHV #IHT #L1 #HL12 /4 width=1/
+| #a #L2 #V #W #W0 #T #U #l #_ #_ #HVW #HW0 #HTU #IHV #IHT #L1 #HL12
+  lapply (IHV … HL12) -IHV #HV
+  lapply (IHT … HL12) -IHT #HT
+  lapply (lsubsv_ssta_trans … HVW … HL12) -HVW #HVW
+  lapply (lsubsv_cprs_trans … HL12 … HW0) -HW0 #HW0
+  lapply (lsubsv_xprs_trans … HL12 … HTU) -HL12 -HTU /2 width=8/
+| #L2 #W #T #U #l #_ #_ #HTU #HWU #IHW #IHT #L1 #HL12
+  lapply (IHW … HL12) -IHW #HW
+  lapply (IHT … HL12) -IHT #HT
+  lapply (lsubsv_ssta_trans … HTU … HL12) -HTU #HTU
+  lapply (lsubsv_cpcs_trans … HL12 … HWU) -HL12 -HWU /2 width=4/
+]
+qed-.
+*)