Theorems · Theorem · Lie groups

Filter.HasBasis.uniformity_of_nhds_one_swapped

∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α] {ι : Sort u_3} {p : ι → Prop}
  {U : ι → Set α}, (nhds 1).HasBasis p U → (uniformity α).HasBasis p fun i => {x | x.1 / x.2 ∈ U i}

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

UniformSpaceGroupIsUniformGroup