Theorems · Theorem · order theory
CompleteBooleanAlgebra.himp_eq
∀ {α : Type u_1} [self : CompleteBooleanAlgebra α] (x y : α), x ⇨ y = y ⊔ xᶜx ⇨ y is equal to y ⊔ xᶜ
- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CompleteBooleanAlgebra
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Compl.complstatement · cited by 2,925
- HImp.himpstatement · cited by 153
- CompleteBooleanAlgebrastatement and proof · cited by 32
- CompleteBooleanAlgebra.toComplstatement · cited by 4
- CompleteBooleanAlgebra.toHImpstatement · cited by 1
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