(* Properties on stratified static type assignment **************************)
-lemma lsubsv_ssta_trans: ∀h,g,L2,T,U2,l. ⦃h, L2⦄ ⊢ T •[g] ⦃l, U2⦄ →
- ∀L1. h ⊢ L1 ¡⊑[g] L2 →
- ∃∃U1. ⦃h, L1⦄ ⊢ T •[g] ⦃l, U1⦄ & L1 ⊢ U1 ⬌* U2.
+lemma lsubsv_ssta_trans: ∀h,g,L2,T,U2,l. ⦃h, L2⦄ ⊢ T •[h, g] ⦃l, U2⦄ →
+ ∀L1. h ⊢ L1 ¡⊑[h, g] L2 →
+ ∃∃U1. ⦃h, L1⦄ ⊢ T •[h, g] ⦃l, U1⦄ & L1 ⊢ U1 ⬌* U2.
#h #g #L2 #T #U #l #H elim H -L2 -T -U -l
[ /3 width=3/
| #L2 #K2 #X #Y #U #i #l #HLK2 #_ #HYU #IHXY #L1 #HL12