Theorems · Theorem · general topology
Bornology.sUnion_bounded_univ
∀ {α : Type u_2} {x : Bornology α}, ⋃₀ {s | Bornology.IsBounded s} = Set.univ- Defined in
- Mathlib.Topology.Bornology.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredstatement · cited by 6,101
- Set.univstatement · cited by 3,945
- Set.sUnionstatement · cited by 392
- Bornology.IsBoundedstatement · cited by 293
- Bornologystatement and proof · cited by 188
- Set.mem_singletonproof · cited by 183
- Set.sUnion_eq_univ_iffproof · cited by 8
- Bornology.isBounded_singletonproof · cited by 6
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