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Theorems · Theorem · general topology

BoundedSpace.bounded_univ

∀ {α : Type u_4} {inst : Bornology α} [self : BoundedSpace α], Bornology.IsBounded Set.univ

The Set.univ is bounded.

Defined in
Mathlib.Topology.Bornology.Basic
Cited by
2 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
BoundedSpace
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Around this declaration

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

Bornology.isBounded_univ · cited by 5Bornology.isBounded_univBornology.IsBounded.all · cited by 2IsBounded.allSet.univ · cited by 3945Set.univBornology.IsBounded · cited by 293Bornology.IsBoundedBornology · cited by 188BornologyBoundedSpace · cited by 26BoundedSpaceBoundedSpace.bounded_univCITED BYCITES

Cites4

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.