Theorems · Theorem · order theory
Complementeds.mk_sup_mk
∀ {α : Type u_1} [inst : DistribLattice α] [inst_1 : BoundedOrder α] {a b : α} (ha : IsComplemented a)
(hb : IsComplemented b), ⟨a, ha⟩ ⊔ ⟨b, hb⟩ = ⟨a ⊔ b, ⋯⟩- Defined in
- Mathlib.Order.Disjoint
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- DistribLatticeBoundedOrder
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- BoundedOrderstatement and proof · cited by 270
- DistribLatticestatement and proof · cited by 150
- IsComplementedstatement and proof · cited by 22
- Complementedsstatement · cited by 12
- IsComplemented.supstatement · cited by 1
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