Theorems · Theorem · general topology
MetricSpace.replaceUniformity_eq
∀ {γ : Type u_3} [U : UniformSpace γ] (m : MetricSpace γ) (H : uniformity γ = uniformity γ), m.replaceUniformity H = m- Defined in
- Mathlib.Topology.MetricSpace.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 120 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
- MetricSpacestatement and proof · cited by 1,684
- Dist.distproof · cited by 1,539
- uniformitystatement and proof · cited by 765
- Dist.extproof · cited by 9
- MetricSpace.extproof · cited by 5
- MetricSpace.replaceUniformitystatement · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.