Theorems · Theorem · group theory
CommGroup.finite_of_fg_isMulTorsion
∀ (G : Type u) [inst : CommGroup G] [Group.FG G], IsMulTorsion G → Finite G
- Defined in
- Mathlib.GroupTheory.FiniteAbelian.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finitestatement · cited by 3,029
- CommGroupstatement and proof · cited by 990
- Additiveproof · cited by 356
- Multiplicative.ofAddproof · cited by 237
- Group.FGstatement and proof · cited by 40
- IsMulTorsionstatement and proof · cited by 35
- Finite.of_equivproof · cited by 20
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.finiteIndex_range_powMonoidHom_of_fgproof · cited by 1
- CommGroup.finite_of_fg_torsionproof · cited by 0