Theorems · Theorem · general topology

AbstractCompletion.map_coe

∀ {α : Type uα} [inst : UniformSpace α] (pkg : AbstractCompletion.{vα, uα} α) {β : Type uβ} [inst_1 : UniformSpace β]
  (pkg' : AbstractCompletion.{vβ, uβ} β) {f : α → β},
  UniformContinuous f → ∀ (a : α), pkg.map pkg' f (pkg.coe a) = pkg'.coe (f a)

Defined in

Mathlib.Topology.UniformSpace.AbstractCompletion

Cited by

3 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceUniformSpace