Theorems · Theorem · group theory
Subgroup.finiteIndex_range_powMonoidHom_of_fg
∀ (A : Type u_1) [inst : CommGroup A] [Group.FG A] {n : ℕ}, n ≠ 0 → (powMonoidHom n).range.FiniteIndex- Defined in
- Mathlib.GroupTheory.FiniteAbelian.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HasQuotient.Quotientproof · cited by 2,301
- CommGroupstatement and proof · cited by 990
- MonoidHom.rangestatement and proof · cited by 314
- Subgroup.FiniteIndexstatement · cited by 113
- Group.FGstatement and proof · cited by 40
- powMonoidHomstatement and proof · cited by 35
- CommGroup.finite_of_fg_isMulTorsionproof · cited by 2
- Subgroup.finiteIndex_iff_finite_quotientproof · cited by 2
- CommGroup.isMulTorsion_quotient_range_powMonoidHomproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.isFiniteRelIndex_map_powMonoidHom_of_fgproof · cited by 0