Theorems · Theorem · order theory
CompleteBooleanAlgebra.inf_compl_le_bot
∀ {α : Type u_1} [self : CompleteBooleanAlgebra α] (x : α), x ⊓ xᶜ ≤ ⊥The infimum of x and xᶜ is at most ⊥
- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CompleteBooleanAlgebra
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.
- Bot.botstatement · cited by 4,720
- Compl.complstatement · cited by 2,925
- CompleteBooleanAlgebrastatement and proof · cited by 32
- Lattice.infstatement · cited by 18
- Lattice.inf_le_leftstatement · cited by 12
- Lattice.inf_le_rightstatement · cited by 12
- Lattice.le_infstatement · cited by 12
- CompleteBooleanAlgebra.toComplstatement · cited by 4
Cited by0
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