Theorems · Theorem · group theory
AddSubgroup.isFiniteRelIndex_top_iff
∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G}, H.IsFiniteRelIndex ⊤ ↔ H.FiniteIndex- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.indexproof · cited by 104
- AddSubgroup.FiniteIndexstatement · cited by 66
- AddSubgroup.IsFiniteRelIndexstatement and proof · cited by 17
- AddSubgroup.relIndex_top_rightproof · cited by 7
- AddSubgroup.finiteIndex_iffproof · cited by 4
- AddSubgroup.isFiniteRelIndex_iff_relIndex_ne_zeroproof · cited by 3
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