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Theorems · Theorem · general topology

Bornology.isBounded_union

∀ {α : Type u_2} {x : Bornology α} {s t : Set α},
  Bornology.IsBounded (s ∪ t) ↔ Bornology.IsBounded s ∧ Bornology.IsBounded t
Defined in
Mathlib.Topology.Bornology.Basic
Cited by
1 results in Mathlib
Foundations
Depth 58 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.

Bornology.IsBounded.union · cited by 8IsBounded.unionSet · cited by 53352SetCompl.compl · cited by 2925Compl.complBornology.IsBounded · cited by 293Bornology.IsBoundedBornology · cited by 188BornologySet.compl_union · cited by 30Set.compl_unionBornology.IsCobounded · cited by 23Bornology.IsCoboundedBornology.isBounded_unionCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.