Theorems · Theorem · Lie groups

exists_nhds_split_inv

∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Group G] [IsTopologicalGroup G] {s : Set G},
  s ∈ nhds 1 → ∃ V ∈ nhds 1, ∀ v ∈ V, ∀ w ∈ V, v / w ∈ s

Defined in

Mathlib.Topology.Algebra.Group.Basic

Cited by

1 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceGroupIsTopologicalGroup