(* Basic properties *********************************************************)
-lemma ApplDelta_lift: ∀W1,W2,k,d,e. ⬆[d, e] W1 ≡ W2 →
- ⬆[d, e] (ApplDelta W1 k) ≡ (ApplDelta W2 k).
+lemma ApplDelta_lift: ∀W1,W2,k,l,m. ⬆[l, m] W1 ≡ W2 →
+ ⬆[l, m] (ApplDelta W1 k) ≡ (ApplDelta W2 k).
/5 width=1 by lift_flat, lift_bind, lift_lref_lt/ qed.
lemma cpr_ApplOmega_12: ∀G,L,W,k. ⦃G, L⦄ ⊢ ApplOmega1 W k ➡ ApplOmega2 W k.