Theorems · Theorem · Lie groups
Subgroup.is_normal_topologicalClosure
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : Group G] [inst_2 : IsTopologicalGroup G] (N : Subgroup G)
[N.Normal], N.topologicalClosure.NormalThe topological closure of a normal subgroup is normal.
- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coeproof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- IsTopologicalGroupstatement and proof · cited by 469
- Subgroup.Normalstatement and proof · cited by 334
- Subgroup.Normal.conj_memproof · cited by 23
- Subgroup.topologicalClosurestatement and proof · cited by 12
- map_mem_closureproof · cited by 4
- IsTopologicalGroup.continuous_conjproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.