Theorems · Theorem · group theory
AddSubgroup.isFiniteRelIndex_iff_relIndex_ne_zero
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G}, H.IsFiniteRelIndex K ↔ H.relIndex K ≠ 0- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 and proof · cited by 3,232
- AddSubgroup.relIndexstatement · cited by 67
- AddSubgroup.IsFiniteRelIndexstatement and proof · cited by 17
- AddSubgroup.relIndex_ne_zeroproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- AddSubgroup.isFiniteRelIndex_iff_finiteIndexproof · cited by 2
- AddSubgroup.isFiniteRelIndex_of_le_rightproof · cited by 1
- AddSubgroup.isFiniteRelIndex_top_iffproof · cited by 0