Theorems · Theorem · Lie groups

closure_subset_mul_left_of_mem_nhds_one_of_inv

∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Group G] [SeparatelyContinuousMul G] {s : Set G} (s' : Set G),
  s ∈ nhds 1 → (∀ x ∈ s, x⁻¹ ∈ s) → closure s' ⊆ s * s'

Defined in

Mathlib.Topology.Algebra.Group.Pointwise

Cited by

1 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceGroupSeparatelyContinuousMul