Theorems · Theorem · Lie groups

topologicalClosure_subgroupClosure_toSubmonoid

∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [CompactSpace G] [inst_3 : IsTopologicalGroup G]
  (s : Set G), (Subgroup.closure s).topologicalClosure = (Submonoid.closure s).topologicalClosure

Defined in

Mathlib.Topology.Algebra.Group.SubmonoidClosure

Cited by

1 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupTopologicalSpaceCompactSpaceIsTopologicalGroup