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1 (**************************************************************************)
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3 (*      ||M||                                                             *)
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14
15 include "basic_2/equivalence/lsubss_ssta.ma".
16 include "basic_2/dynamic/lsubsv.ma".
17
18 (* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
19
20 (* Properties on stratified static type assignment **************************)
21
22 lemma lsubsv_ssta_trans: ∀h,g,L2,T,U2,l. ⦃h, L2⦄ ⊢ T •[g] ⦃l, U2⦄ →
23                          ∀L1. h ⊢ L1 ⊩:⊑[g] L2 →
24                          ∃∃U1. ⦃h, L1⦄ ⊢ T •[g] ⦃l, U1⦄ & L1 ⊢ U1 ⬌* U2.
25 /3 width=3 by lsubsv_fwd_lsubss, lsubss_ssta_trans/
26 qed-.