Proposition cha_basis_eq {H : complete_heyting_algebra} (B : cha_basis H) (x : H) : x = \/_{ i : ∑ (b : B), cha_basis_incl b ≤ x } cha_basis_incl (pr1 i). Proof. exact (pr122 B x). Defined.
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.