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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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15 include "basic_2/equivalence/lsubss_ssta.ma".
16 include "basic_2/dynamic/lsubsv.ma".
18 (* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
20 (* Properties on stratified static type assignment **************************)
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/