Theorems · Theorem · group theory
AddSubgroup.finiteIndex_toSubgroup_iff
∀ {G : Type u_3} [inst : AddGroup G] (H : AddSubgroup G), (AddSubgroup.toSubgroup H).FiniteIndex ↔ H.FiniteIndex- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- Subgroupstatement · cited by 3,593
- AddSubgroupstatement and proof · cited by 3,232
- Multiplicativestatement · cited by 875
- OrderIsostatement · cited by 874
- Subgroup.FiniteIndexstatement · cited by 113
- AddSubgroup.indexproof · cited by 104
- AddSubgroup.FiniteIndexstatement · cited by 66
- AddSubgroup.toSubgroupstatement · cited by 15
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