Theorems · Theorem · Lie groups

uniformity_translate_add

∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : AddGroup α] [IsUniformAddGroup α] (a : α),
  Filter.map (fun x => (x.1 + a, x.2 + a)) (uniformity α) = uniformity α

Defined in

Mathlib.Topology.Algebra.IsUniformGroup.Defs

Cited by

1 results in Mathlib

Foundations

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

Assumes

UniformSpaceAddGroupIsUniformAddGroup