Theorems · Theorem · general topology
Bornology.isBounded_iff_forall_mem
∀ {α : Type u_2} {x : Bornology α} {s : Set α}, Bornology.IsBounded s ↔ ∀ x_1 ∈ s, Bornology.IsBounded s- Defined in
- Mathlib.Topology.Bornology.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Nonemptyproof · cited by 2,627
- Bornology.IsBoundedstatement and proof · cited by 293
- Set.eq_empty_or_nonemptyproof · cited by 248
- Bornologystatement and proof · cited by 188
- Bornology.isBounded_emptyproof · cited by 5
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