Theorems · Theorem · general topology
Metric.toUniformSpace_eq
∀ {α : Type u} [inst : PseudoMetricSpace α], PseudoMetricSpace.toUniformSpace = UniformSpace.ofDist dist ⋯ ⋯ ⋯- Defined in
- Mathlib.Topology.MetricSpace.Pseudo.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement · cited by 2,040
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement · cited by 1,539
- dist_commstatement · cited by 188
- dist_selfstatement · cited by 116
- dist_trianglestatement · cited by 44
- UniformSpace.extproof · cited by 34
- PseudoMetricSpace.uniformity_distproof · cited by 2
- UniformSpace.ofDiststatement · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Metric.uniformity_basis_distproof · cited by 25