Theorems · Theorem · order theory
sInf_codisjoint_iff
∀ {α : Type u} [inst : Order.Coframe α] {a : α} {s : Set α}, Codisjoint (sInf s) a ↔ ∀ b ∈ s, Codisjoint b a- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- Order.Coframe
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.
- Setstatement and proof · cited by 53,352
- Top.topproof · cited by 9,680
- InfSet.sInfstatement · cited by 935
- Codisjointstatement · cited by 197
- codisjoint_iffproof · cited by 53
- Order.Coframestatement and proof · cited by 38
- iInf_eq_topproof · cited by 10
- sInf_sup_eqproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- codisjoint_sInf_iffproof · cited by 0