(* Properties with context-sensitive free variables *************************)
-lemma lsubf_frees_trans: ∀f2,L2,T. L2 ⊢ 𝐅*⦃T⦄ ≘ f2 →
- ∀f1,L1. ⦃L1,f1⦄ ⫃𝐅* ⦃L2,f2⦄ → L1 ⊢ 𝐅*⦃T⦄ ≘ f1.
+lemma lsubf_frees_trans:
+ ∀f2,L2,T. L2 ⊢ 𝐅+⦃T⦄ ≘ f2 →
+ ∀f1,L1. ⦃L1,f1⦄ ⫃𝐅+ ⦃L2,f2⦄ → L1 ⊢ 𝐅+⦃T⦄ ≘ f1.
#f2 #L2 #T #H elim H -f2 -L2 -T
[ /3 width=5 by lsubf_fwd_isid_dx, frees_sort/
| #f2 #i #Hf2 #g1 #Y1 #H