Mathlib Map

Theorems · Definition · group theory

FiniteIndexNormalSubgroup.ofSubgroup

{G : Type u_1} → [inst : Group G] → (H : Subgroup G) → [H.Normal] → [H.FiniteIndex] → FiniteIndexNormalSubgroup G

Bundle a subgroup with typeclass assumptions of normality and finite index.

Defined in
Mathlib.GroupTheory.FiniteIndexNormalSubgroup
Cited by
2 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
GroupSubgroup.NormalSubgroup.FiniteIndex
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

OpenNormalSubgroup.toFiniteIndexNormalSubgroup · cited by 2OpenNormalSubgroup.toFini…FiniteIndexNormalSubgroup.toSubgroup_ofSubgroup · cited by 0FiniteIndexNormalSubgroup…Group.residuallyFinite_iff_forall_finiteIndex · cited by 0Group.residuallyFinite_if…Group · cited by 6238GroupSubgroup · cited by 3593SubgroupSubgroup.Normal · cited by 334Subgroup.NormalSubgroup.FiniteIndex · cited by 113Subgroup.FiniteIndexFiniteIndexNormalSubgroup · cited by 27FiniteIndexNormalSubgroupFiniteIndexNormalSubgroup.ofS…CITED BYCITES

Cites5

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Cited by3

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