Theorems · Theorem · order theory
compl_unique
∀ {α : Type u_2} [inst : HeytingAlgebra α] {a b : α}, a ⊓ b = ⊥ → a ⊔ b = ⊤ → aᶜ = b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext
- Assumes
- HeytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Bot.botstatement and proof · cited by 4,720
- Compl.complstatement · cited by 2,925
- HeytingAlgebrastatement and proof · cited by 108
- IsCompl.compl_eqproof · cited by 16
- IsCompl.of_eqproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- ModelWithCorners.compl_interiorproof · cited by 6