Theorems · Inductive type · group theory
AddSubgroup.FiniteIndex
{G : Type u_3} → [inst : AddGroup G] → AddSubgroup G → PropTypeclass for finite index subgroups.
- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 66 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.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement · cited by 4,410
- AddSubgroupstatement · cited by 3,232
Cited by79
Results whose statement or proof uses this declaration.
- AddSubgroup.FiniteIndex.index_ne_zerostatement and proof · cited by 10
- AddSubgroup.finiteIndex_of_finite_quotientstatement · cited by 7
- AddSubgroup.isOpen_of_isClosed_of_finiteIndexstatement and proof · cited by 5
- AddSubgroup.leftTransversals.diffstatement and proof · cited by 5
- AddSubgroup.finiteIndex_iffstatement and proof · cited by 4
- AddSubgroup.leftCoset_cover_filter_FiniteIndex_auxstatement and proof · cited by 3
- AddSubgroup.IsComplement.finite_left_iffstatement and proof · cited by 3
- AddSubgroup.fintypeQuotientOfFiniteIndexstatement and proof · cited by 3
- AddSubgroup.leftTransversals.diff_add_diffstatement and proof · cited by 3
- FiniteIndexNormalAddSubgroup.extproof · cited by 2
- AddSubgroup.isFiniteRelIndex_iff_finiteIndexstatement and proof · cited by 2
- FiniteIndexNormalAddSubgroup.ofAddSubgroupstatement and proof · cited by 2