Theorems · Theorem · Lie groups
AddSubgroup.is_normal_topologicalClosure
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [inst_2 : IsTopologicalAddGroup G]
(N : AddSubgroup G) [N.Normal], N.topologicalClosure.NormalThe topological closure of a normal additive 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
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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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- AddSubgroup.Normalstatement and proof · cited by 183
- AddSubgroup.Normal.conj_memproof · cited by 16
- AddSubgroup.topologicalClosurestatement and proof · cited by 16
- map_mem_closureproof · cited by 4
- IsTopologicalAddGroup.continuous_addConjproof · cited by 2
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