lower'_equiv@{i j i' j'} {A : Type@{i}} {B : Type@{j}} (e : Equiv (Lift'@{i j} A) (Lift'@{i' j'} B)) : Equiv A B := @Build_Equiv A B (lower'2 e) _.
From HoTT Require Import Basics.Overture Basics.PathGroupoids.