Theorems · Theorem · Lie groups

UniformCauchySeqOn.div

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α] {ι : Type u_3}
  {l : Filter ι} {f f' : ι → β → α} {s : Set β},
  UniformCauchySeqOn f l s → UniformCauchySeqOn f' l s → UniformCauchySeqOn (f / f') l s

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Basic

Cited by

1 results in Mathlib

Foundations

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

Assumes

UniformSpaceGroupIsUniformGroup