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Theorems · Theorem · general topology

Filter.disjoint_cobounded_iff

∀ {α : Type u_2} [inst : Bornology α] {l : Filter α},
  Disjoint l (Bornology.cobounded α) ↔ ∃ s ∈ l, Bornology.IsBounded s
Defined in
Mathlib.Topology.Bornology.Basic
Cited by
2 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Bornology
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Disjoint.exists_isBounded · cited by 0Disjoint.exists_isBoundedBornology.IsBounded.disjoint_cobounded · cited by 0IsBounded.disjoint_coboun…Set · cited by 53352SetFilter · cited by 8121FilterDisjoint · cited by 2201DisjointBornology.IsBounded · cited by 293Bornology.IsBoundedBornology · cited by 188BornologyBornology.cobounded · cited by 162Bornology.coboundedFilter.basis_sets · cited by 105Filter.basis_setsFilter.HasBasis.disjoint_cobounded_iff · cited by 1HasBasis.disjoint_cobound…Filter.disjoint_cobounded_iffCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.