Theorems · Definition · group theory
FiniteIndexNormalAddSubgroup.toAddSubgroup
{G : Type u_1} → [inst : AddGroup G] → FiniteIndexNormalAddSubgroup G → AddSubgroup G- Cited by
- 15 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- AddGroup
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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- FiniteIndexNormalAddSubgroupstatement and proof · cited by 26
Cited by20
Results whose statement or proof uses this declaration.
- FiniteIndexNormalAddSubgroup.comapproof · cited by 4
- AddGroup.residuallyFinite_iff_forall_finiteIndexNormalAddSubgroupproof · cited by 4
- FiniteIndexNormalAddSubgroup.extstatement and proof · cited by 2
- AddGroup.ResiduallyFinite.iInf_eq_botstatement · cited by 1
- FiniteIndexNormalAddSubgroup.mem_toAddSubgroup_iffstatement · cited by 1
- AddGroup.residuallyFinite_defstatement and proof · cited by 1
- ProfiniteAddGrp.ProfiniteCompletion.denseRangeproof · cited by 1
- AddGroup.residuallyFinite_iff_forall_finiteIndexproof · cited by 1
- AddGroup.exists_finiteIndexNormalAddSubgroup_of_residuallyFinitestatement · cited by 0
- OpenNormalAddSubgroup.toFiniteIndexNormalAddSubgroup_injectiveproof · cited by 0
- FiniteIndexNormalAddSubgroup.ext_iffstatement and proof · cited by 0
- AddGroup.ResiduallyFinite.casesOnstatement and proof · cited by 0