Theorems · Theorem · Lie groups

IsLeftUniformGroup.uniformity_eq

∀ {G : Type u_7} {inst : UniformSpace G} {inst_1 : Group G} [self : IsLeftUniformGroup G],
  uniformity G = Filter.comap (fun x => x.1⁻¹ * x.2) (nhds 1)

Defined in: Mathlib.Topology.Algebra.IsUniformGroup.Defs
Cited by: 1 results in Mathlib
Foundations: Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: IsLeftUniformGroup

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Filterstatement · cited by 8,121
Groupstatement and proof · cited by 6,238
nhdsstatement · cited by 5,554
UniformSpacestatement and proof · cited by 2,040
uniformitystatement · cited by 765
Filter.comapstatement · cited by 546
IsLeftUniformGroupstatement and proof · cited by 8

Cited by1

Results whose statement or proof uses this declaration.

uniformity_eq_comap_inv_mul_nhds_oneproof · cited by 4