Theorems · Theorem · Lie groups

Finset.uniformContinuous_prod

∀ {α : Type u_3} {β : Type u_4} {ι : Type u_5} [inst : UniformSpace α] [inst_1 : CommGroup α] [IsUniformGroup α]
  [inst_3 : UniformSpace β] {f : ι → β → α} (s : Finset ι),
  (∀ i ∈ s, UniformContinuous (f i)) → UniformContinuous fun x => ∏ i ∈ s, f i x

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Defs

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceCommGroupIsUniformGroupUniformSpace