Theorems · Theorem · general topology

AbstractCompletion.inseparable_extend_coe

∀ {α : Type uα} [inst : UniformSpace α] (pkg : AbstractCompletion.{vα, uα} α) {β : Type uβ} [inst_1 : UniformSpace β]
  {f : α → β}, UniformContinuous f → ∀ (x : α), Inseparable (pkg.extend f (pkg.coe x)) (f x)

Defined in

Mathlib.Topology.UniformSpace.AbstractCompletion

Cited by

1 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceUniformSpace