Theorems · Theorem · general topology
PseudoMetricSpace.replaceBornology_eq
∀ {α : Type u_3} [m : PseudoMetricSpace α] [B : Bornology α]
(H : ∀ (s : Set α), Bornology.IsBounded s ↔ Bornology.IsBounded s), m.replaceBornology H = m- Defined in
- Mathlib.Topology.MetricSpace.Pseudo.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpaceBornology
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.distproof · cited by 1,539
- Bornology.IsBoundedstatement and proof · cited by 293
- Bornologystatement and proof · cited by 188
- Dist.extproof · cited by 9
- PseudoMetricSpace.extproof · cited by 6
- PseudoMetricSpace.replaceBornologystatement · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.