Definition complete_heyting_algebra_lub {H : complete_heyting_algebra} {I : UU} (f : I → H) : H := pr1 (pr122 H I f).
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.