Theorems · Theorem · order theory
iInf_codisjoint_iff
∀ {α : Type u} {ι : Sort w} [inst : Order.Coframe α] {a : α} {f : ι → α},
Codisjoint (⨅ i, f i) a ↔ ∀ (i : ι), Codisjoint (f i) a- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- Order.Coframe
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- iInfstatement · cited by 1,690
- Codisjointstatement · cited by 197
- codisjoint_iffproof · cited by 53
- Order.Coframestatement and proof · cited by 38
- iInf_eq_topproof · cited by 10
- iInf_sup_eqproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- codisjoint_iInf_iffproof · cited by 1
- iInf₂_codisjoint_iffproof · cited by 0