Theorems · Theorem · general topology

Pi.uniformity

∀ {ι : Type u_1} (α : ι → Type u) [U : (i : ι) → UniformSpace (α i)],
  uniformity ((i : ι) → α i) = ⨅ i, Filter.comap (fun a => (a.1 i, a.2 i)) (uniformity (α i))

Defined in

Mathlib.Topology.UniformSpace.Pi

Cited by

6 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpace