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Theorems · Theorem · general topology

Bornology.IsBounded.compl

∀ {α : Type u_2} {x : Bornology α} {s : Set α}, Bornology.IsBounded s → Bornology.IsCobounded sᶜ

Alias of the reverse direction of Bornology.isCobounded_compl_iff.

Defined in
Mathlib.Topology.Bornology.Basic
Cited by
2 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Bornology.comap_cobounded_le_iff · cited by 1Bornology.comap_cobounded…IsSelfAdjoint.isConnected_spectrum_compl · cited by 1IsSelfAdjoint.isConnected…Set · cited by 53352SetCompl.compl · cited by 2925Compl.complBornology.IsBounded · cited by 293Bornology.IsBoundedBornology · cited by 188BornologyBornology.IsCobounded · cited by 23Bornology.IsCoboundedBornology.isCobounded_compl_iff · cited by 2Bornology.isCobounded_com…IsBounded.complCITED BYCITES

Cites6

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.