Theorems · Theorem · Lie groups
Subgroup.normalCore_isClosed
∀ {G : Type u} [inst : Group G] [inst_1 : TopologicalSpace G] [SeparatelyContinuousMul G] (H : Subgroup G),
IsClosed ↑H → IsClosed ↑H.normalCore- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- IsClosedstatement and proof · cited by 1,639
- IsClosed.preimageproof · cited by 138
- SeparatelyContinuousMulstatement and proof · cited by 133
- isClosed_iInterproof · cited by 43
- Subgroup.normalCorestatement · cited by 16
- Subgroup.coe_iInfproof · cited by 3
- IsTopologicalGroup.continuous_conjproof · cited by 2
- Subgroup.normalCore_eq_iInf_comap_conjproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsTopologicalGroup.exist_openNormalSubgroup_sub_clopen_nhds_of_oneproof · cited by 1