+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||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-.
-*)