Theorems · Theorem · order theory
codisjoint_sInf_iff
∀ {α : Type u} [inst : Order.Coframe α] {a : α} {s : Set α}, Codisjoint a (sInf s) ↔ ∀ b ∈ s, Codisjoint a b- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- Order.Coframe
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- InfSet.sInfstatement · cited by 935
- Codisjointstatement · cited by 197
- Order.Coframestatement and proof · cited by 38
- codisjoint_commproof · cited by 8
- sInf_codisjoint_iffproof · cited by 1
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