Theorems · Inductive type · Lie groups
OpenSubgroup
(G : Type u_1) → [Group G] → [TopologicalSpace G] → Type u_1
The type of open subgroups of a topological group.
- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- Cited by
- 47 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 by67
Results whose statement or proof uses this declaration.
- OpenSubgroup.toSubgroupstatement and proof · cited by 34
- OpenNormalSubgroup.toOpenSubgroupstatement · cited by 11
- OpenSubgroup.isOpenstatement and proof · cited by 7
- NonarchimedeanGroup.is_nonarchimedeanstatement · cited by 5
- OpenSubgroup.isClosedstatement and proof · cited by 4
- OpenSubgroup.isOpen'statement and proof · cited by 4
- OpenSubgroup.toOpensstatement and proof · cited by 4
- OpenSubgroup.comapstatement and proof · cited by 4
- OpenSubgroup.mem_nhds_onestatement and proof · cited by 2
- OpenSubgroup.prodstatement and proof · cited by 2
- CategoryTheory.PreGaloisCategory.exists_lift_of_quotient_openSubgroupstatement and proof · cited by 1
- CategoryTheory.PreGaloisCategory.has_decomp_quotientsstatement and proof · cited by 1