Proposition cha_not_bot (H : complete_heyting_algebra) : ¬ ⊥ = (⊤ : H). Proof. cbn. use cha_le_antisymm. - use cha_le_top. - use cha_to_le_exp. use cha_min_le_r. Qed.
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.