Theorems · Theorem · general topology
Bornology.IsBounded.boundedSpace_subtype
∀ {α : Type u_1} [inst : Bornology α] {p : α → Prop}, Bornology.IsBounded {x | p x} → BoundedSpace (Subtype p)Alias of the reverse direction of boundedSpace_subtype_iff.
- Defined in
- Mathlib.Topology.Bornology.Constructions
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Bornology
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredstatement · cited by 6,101
- Bornology.IsBoundedstatement · cited by 293
- Bornologystatement and proof · cited by 188
- BoundedSpacestatement · cited by 26
- boundedSpace_subtype_iffproof · cited by 2
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