Theorems · Definition · group theory
FiniteIndexNormalSubgroup.toSubgroup
{G : Type u_1} → [inst : Group G] → FiniteIndexNormalSubgroup G → Subgroup G- Cited by
- 15 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- FiniteIndexNormalSubgroupstatement and proof · cited by 27
Cited by20
Results whose statement or proof uses this declaration.
- FiniteIndexNormalSubgroup.comapproof · cited by 4
- Group.residuallyFinite_iff_forall_finiteIndexNormalSubgroupproof · cited by 3
- FiniteIndexNormalSubgroup.extstatement and proof · cited by 2
- Group.ResiduallyFinite.iInf_eq_botstatement · cited by 1
- ProfiniteGrp.ProfiniteCompletion.denseRangeproof · cited by 1
- ProfiniteGrp.ProfiniteCompletion.quotientMapstatement and proof · cited by 1
- FiniteIndexNormalSubgroup.isFiniteIndex'statement · cited by 0
- FiniteIndexNormalSubgroup.isNormal'statement · cited by 0
- FiniteIndexNormalSubgroup.mem_toSubgroup_iffstatement · cited by 0
- Group.ResiduallyFinite.casesOnstatement and proof · cited by 0
- FiniteIndexNormalSubgroup.toSubgroup_comapstatement · cited by 0
- FiniteIndexNormalSubgroup.toSubgroup_injectivestatement and proof · cited by 0