Theorems · Theorem · order theory
HeytingAlgebra.himp_bot
∀ {α : Type u_4} [self : HeytingAlgebra α] (a : α), a ⇨ ⊥ = aᶜaᶜ is defined as a ⇨ ⊥
- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- HeytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- Compl.complstatement · cited by 2,925
- HImp.himpstatement · cited by 153
- HeytingAlgebrastatement and proof · cited by 108
Cited by3
Results whose statement or proof uses this declaration.
- himp_botproof · cited by 9
- Function.Injective.frameproof · cited by 0
- Frame.copyproof · cited by 0