Theorems · Definition · Lie groups
OpenAddSubgroup.toAddSubgroup
{G : Type u_1} → [inst : AddGroup G] → [inst_1 : TopologicalSpace G] → OpenAddSubgroup G → AddSubgroup GReinterpret an OpenAddSubgroup as an AddSubgroup.
- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- AddGroupTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- OpenAddSubgroupstatement and proof · cited by 47
Cited by37
Results whose statement or proof uses this declaration.
- OpenAddSubgroup.comapproof · cited by 5
- OpenAddSubgroup.isClosedproof · cited by 3
- OpenAddSubgroup.isOpen'statement · cited by 3
- OpenAddSubgroup.mem_nhds_zeroproof · cited by 2
- OpenAddSubgroup.mem_toAddSubgroupstatement · cited by 2
- OpenAddSubgroup.prodproof · cited by 2
- OpenNormalAddSubgroup.extstatement and proof · cited by 2
- ProfiniteAddGrp.toFiniteQuotientFunctorproof · cited by 2
- OpenNormalAddSubgroup.toFiniteIndexNormalAddSubgroupproof · cited by 2
- OpenNormalAddSubgroup.mk.injstatement and proof · cited by 1
- OpenNormalAddSubgroup.mk.noConfusionstatement and proof · cited by 1