Theorems · Theorem · Lie groups

UniformContinuous.pow_const

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α] [inst_3 : UniformSpace β]
  {f : β → α}, UniformContinuous f → ∀ (n : ℕ), UniformContinuous fun x => f x ^ n

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Defs

Cited by

2 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceGroupIsUniformGroupUniformSpace