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Theorems · Theorem · general topology

Bornology.IsBounded.all

∀ {α : Type u_2} [inst : Bornology α] [BoundedSpace α] (s : Set α), Bornology.IsBounded s
Defined in
Mathlib.Topology.Bornology.Basic
Cited by
2 results in Mathlib
Foundations
Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
BornologyBoundedSpace
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Around this declaration

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

Convexity.continuous_convexCombPair' · cited by 1Convexity.continuous_conv…Bornology.IsCobounded.all · cited by 0IsCobounded.allSet · cited by 53352SetBornology.IsBounded · cited by 293Bornology.IsBoundedSet.subset_univ · cited by 228Set.subset_univBornology · cited by 188BornologyBornology.IsBounded.subset · cited by 45IsBounded.subsetBoundedSpace · cited by 26BoundedSpaceBoundedSpace.bounded_univ · cited by 2BoundedSpace.bounded_univIsBounded.allCITED BYCITES

Cites7

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.