Theorems · Theorem · Lie groups

Filter.Tendsto.uniformity_mul

∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α] {ι : Type u_3} {f g : ι → α × α}
  {l : Filter ι},
  Filter.Tendsto f l (uniformity α) → Filter.Tendsto g l (uniformity α) → Filter.Tendsto (f * g) l (uniformity α)

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Defs

Cited by

3 results in Mathlib

Foundations

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

Assumes

UniformSpaceGroupIsUniformGroup