Theorems · Inductive type · Lie groups
ClosedSubgroup
(G : Type u) → [Group G] → [TopologicalSpace G] → Type u
The type of closed subgroups of a topological group.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- GroupTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Groupstatement · cited by 6,238
Cited by22
Results whose statement or proof uses this declaration.
- ClosedSubgroup.toSubgroupstatement and proof · cited by 8
- ClosedSubgroup.extstatement and proof · cited by 2
- InfiniteGalois.IntermediateFieldEquivClosedSubgroupstatement and proof · cited by 1
- ClosedSubgroup.mk.injstatement · cited by 1
- InfiniteGalois.normalAutEquivQuotientstatement and proof · cited by 1
- ClosedSubgroup.mk.noConfusionstatement · cited by 1
- ClosedSubgroup.noConfusionstatement and proof · cited by 0
- ClosedSubgroup.noConfusionTypestatement and proof · cited by 0
- ClosedSubgroup.recOnstatement and proof · cited by 0
- ClosedSubgroup.toSubgroup_injectivestatement and proof · cited by 0
- InfiniteGalois.GaloisInsertionIntermediateFieldClosedSubgroupstatement · cited by 0
- InfiniteGalois.fixingSubgroup_fixedFieldstatement and proof · cited by 0