Theorems · Theorem · general topology
Filter.disjoint_iff
∀ {α : Type u} {f g : Filter α}, Disjoint f g ↔ ∃ s ∈ f, ∃ t ∈ g, Disjoint s t- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by5
Results whose statement or proof uses this declaration.
- Filter.disjoint_of_disjoint_of_memproof · cited by 15
- Filter.NeBot.not_disjointproof · cited by 0
- UpperHemicontinuousAt.mem_of_tendstoproof · cited by 0
- UniformSpace.completelyNormalSpace_of_hasAntitoneBasisproof · cited by 0
- IsCompact.closure_eq_nhdsKerproof · cited by 0