(* Forward_lemmas on iterated stratified static type assignment for terms ***)
lemma snv_sstas_fwd_correct: ∀h,g,L,T1,T2. ⦃h, L⦄ ⊩ T1 :[g] → ⦃h, L⦄ ⊢ T1 •* [g] T2 →
- ∃∃U2,l. ⦃h, L⦄ ⊢ T2 •[g, l] U2.
+ ∃∃U2,l. ⦃h, L⦄ ⊢ T2 •[g] ⦃l, U2⦄.
#h #g #L #T1 #T2 #HT1 #HT12
elim (snv_fwd_ssta … HT1) -HT1 /2 width=5 by sstas_fwd_correct/
qed-.