Definition regular_element_exponential (H : complete_heyting_algebra) : exponential (regular_element_bounded_lattice H). Proof. use make_exponential. - exact (λ x y, impl_regular_element x y). - exact regular_element_is_exponential. Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.Algebra.BinaryOperations. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.OrderTheory.Lattice.Bounded. Require Import UniMath.OrderTheory.Lattice.Heyting. Require Import UniMath.OrderTheory.Lattice.CompleteHeyting. Require Import UniMath.OrderTheory.Lattice.DerivedLawsCompleteHeyting.