Definition complete_heyting_algebra : UU := ∑ (X : hSet) (L : bounded_lattice X), is_complete_lattice L × exponential L.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.OrderTheory.Lattice.Bounded. Require Import UniMath.OrderTheory.Lattice.Heyting.