Theorems · Theorem · order theory
BooleanRing.le_sup_inf
∀ {α : Type u_1} [inst : BooleanRing α] (a b c : α), (a ⊔ b) ⊓ (a ⊔ c) ⊔ (a ⊔ b ⊓ c) = a ⊔ b ⊓ c- Defined in
- Mathlib.Algebra.Ring.BooleanRing
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext
- Assumes
- BooleanRing
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- zero_addproof · cited by 2,366
- BooleanRingstatement and proof · cited by 38
- BooleanRing.mul_selfproof · cited by 7
- BooleanRing.add_selfproof · cited by 6
- BooleanRing.supstatement · cited by 5
- BooleanRing.infstatement · cited by 5
- BooleanRing.le_sup_inf_auxproof · cited by 1
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