Theorems · Theorem · Lie groups

UniformContinuous.mul

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α] [inst_3 : UniformSpace β]
  {f g : β → α}, UniformContinuous f → UniformContinuous g → UniformContinuous fun x => f x * g x

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Defs

Cited by

7 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceGroupIsUniformGroupUniformSpace