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Theorems · Theorem · general topology

Bornology.IsBounded.insert

∀ {α : Type u_2} {x : Bornology α} {s : Set α}, Bornology.IsBounded s → ∀ (x_1 : α), Bornology.IsBounded (insert x_1 s)
Defined in
Mathlib.Topology.Bornology.Basic
Cited by
2 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Metric.isBounded_iff_subset_closedBall · cited by 10Metric.isBounded_iff_subs…Bornology.isBounded_insert · cited by 0Bornology.isBounded_insertSet · cited by 53352SetBornology.IsBounded · cited by 293Bornology.IsBoundedBornology · cited by 188BornologyBornology.IsBounded.union · cited by 8IsBounded.unionBornology.isBounded_singleton · cited by 6Bornology.isBounded_singl…IsBounded.insertCITED BYCITES

Cites5

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.