Theorems · Theorem · order theory
inf_compl_eq_bot
∀ {α : Type u_2} [inst : HeytingAlgebra α] {a : α}, a ⊓ aᶜ = ⊥- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 10 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
- HeytingAlgebrastatement and proof · cited by 108
- inf_compl_selfproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Set.inter_compl_selfproof · cited by 17
- Order.Ideal.IsPrime.mem_or_compl_memproof · cited by 2
- Coheyting.boundary_eq_botproof · cited by 0
- Finset.inter_complproof · cited by 0