Theorems · Theorem · order theory
compl_top
∀ {α : Type u_2} [inst : HeytingAlgebra α], ⊤ᶜ = ⊥- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
- Assumes
- HeytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Bot.botstatement and proof · cited by 4,720
- Compl.complstatement · cited by 2,925
- le_bot_iffproof · cited by 116
- HeytingAlgebrastatement and proof · cited by 108
- eq_of_forall_le_iffproof · cited by 65
- le_compl_iff_disjoint_rightproof · cited by 10
- disjoint_topproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Set.compl_univproof · cited by 41
- Finset.compl_univproof · cited by 4
- Heyting.isRegular_botproof · cited by 0
- Heyting.isRegular_topproof · cited by 0