Theorems · Theorem · general topology

Equiv.isUniformEmbedding

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : UniformSpace β] (f : α ≃ β),
  UniformContinuous ⇑f → UniformContinuous ⇑f.symm → IsUniformEmbedding ⇑f

Defined in

Mathlib.Topology.UniformSpace.UniformEmbedding

Cited by

2 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceUniformSpace