Topology.IsEmbedding.comapUniformSpace

{α : Type u_1} →
  {β : Type u_2} →
    [inst : TopologicalSpace α] → [u : UniformSpace β] → (f : α → β) → Topology.IsEmbedding f → UniformSpace α

Pull back a uniform space structure by an embedding, adjusting the new uniform structure to make sure that its topology is defeq to the original one.

Defined in: Mathlib.Topology.UniformSpace.UniformEmbedding
Cited by: 1 results in Mathlib
Foundations: Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace UniformSpace

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