Theorems · Theorem · Lie groups

uniformContinuous_of_tendsto_one

∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α] {hom : Type u_3}
  [inst_3 : UniformSpace β] [inst_4 : Group β] [IsUniformGroup β] [inst_6 : FunLike hom α β] [MonoidHomClass hom α β]
  {f : hom}, Filter.Tendsto (⇑f) (nhds 1) (nhds 1) → UniformContinuous ⇑f

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Defs

Cited by

2 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceGroupIsUniformGroupUniformSpaceGroupIsUniformGroupFunLikeMonoidHomClass