+++ /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/snta_snta.ma".
-include "basic_2/dynamic/lsubsn_ldrop.ma".
-include "basic_2/dynamic/lsubsn_cpcs.ma".
-
-(* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE TYPE ASSIGNMENT *******)
-
-(* Properties concerning stratified native type assignment ******************)
-
-(* Note: the corresponding confluence property does not hold *)
-lemma lsubsn_snta_trans: ∀h,L2,T,U,l. ⦃h, L2⦄ ⊢ T :[l] U →
- ∀L1. h ⊢ L1 :⊑[] L2 → ⦃h, L1⦄ ⊢ T :[l] U.
-#h #L2 #T #U #l #H elim H -L2 -T -U -l
-[ //
-| #L2 #K2 #V2 #W2 #U2 #i #l #HLK2 #_ #WU2 #IHVW2 #L1 #HL12
- elim (lsubsn_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
- elim (lsubsn_inv_pair2 … H) -H * #K1
- [ #HK12 #H destruct /3 width=6/
- | #V1 #l0 #_ #_ #_ #_ #H destruct
- ]
-| #L2 #K2 #W2 #V2 #U2 #i #l #HLK2 #HWV2 #HWU2 #IHWV2 #L1 #HL12
- elim (lsubsn_ldrop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
- elim (lsubsn_inv_pair2 … H) -H * #K1 [ -HWV2 | -IHWV2 ]
- [ #HK12 #H destruct /3 width=6/
- | #V1 #l0 #H1 #H2 #_ #H #_ destruct
- elim (snta_fwd_correct … H2) -H2 #V #H
- elim (snta_mono … HWV2 … H) -HWV2 -H /2 width=6/
- ]
-| /4 width=3/
-| /3 width=2/
-| /3 width=2/
-| /3 width=1/
-| #L2 #T #U1 #U2 #V2 #l #_ #HU12 #_ #IHTU1 #IHUV2 #L1 #HL12
- lapply (cpcs_lsubsn_trans … HL12 … HU12) -HU12 /3 width=3/
-]
-qed.