Theorems · Theorem · Lie groups

MonoidHom.isUniformInducing_of_isInducing

∀ {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}, Topology.IsInducing ⇑f → IsUniformInducing ⇑f

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Defs

Cited by

1 results in Mathlib

Foundations

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

Assumes

UniformSpaceGroupIsUniformGroupUniformSpaceGroupIsUniformGroupFunLikeMonoidHomClass