Theorems · Theorem · general topology
PseudoMetricSpace.replaceUniformity_eq
∀ {α : Type u_3} [U : UniformSpace α] (m : PseudoMetricSpace α) (H : uniformity α = uniformity α),
m.replaceUniformity H = m- Defined in
- Mathlib.Topology.MetricSpace.Pseudo.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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.
- Filterstatement · cited by 8,121
- UniformSpacestatement and proof · cited by 2,040
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.distproof · cited by 1,539
- uniformitystatement and proof · cited by 765
- Dist.extproof · cited by 9
- PseudoMetricSpace.extproof · cited by 6
- PseudoMetricSpace.replaceUniformitystatement · cited by 1
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