Theorems · Theorem · general topology

isUniformInducing_iff

∀ {α : Type ua} {β : Type ub} [inst : UniformSpace α] [inst_1 : UniformSpace β] (f : α → β),
  IsUniformInducing f ↔ Filter.comap (fun x => (f x.1, f x.2)) (uniformity β) = uniformity α

Defined in

Mathlib.Topology.UniformSpace.Defs

Cited by

5 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceUniformSpace