Theorems · Theorem · order theory
hnot_sup_self
∀ {α : Type u_2} [inst : CoheytingAlgebra α] (a : α), ¬a ⊔ a = ⊤- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- CoheytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- CoheytingAlgebrastatement and proof · cited by 96
- HNot.hnotstatement · cited by 83
- Codisjoint.eq_topproof · cited by 22
- codisjoint_hnot_leftproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Coheyting.hnot_hnot_sup_boundaryproof · cited by 2
- hnot_sup_eq_topproof · cited by 0