Theorems · Theorem · order theory
codisjoint_iInf_iff
∀ {α : Type u} {ι : Sort w} [inst : Order.Coframe α] {a : α} {f : ι → α},
Codisjoint a (⨅ i, f i) ↔ ∀ (i : ι), Codisjoint a (f i)- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- Order.Coframe
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iInfstatement · cited by 1,690
- Codisjointstatement · cited by 197
- Order.Coframestatement and proof · cited by 38
- codisjoint_commproof · cited by 8
- iInf_codisjoint_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- codisjoint_iInf₂_iffproof · cited by 0