Theorems · Theorem · group theory
CommGroup.torsion_eq_top_iff
∀ {G : Type u_1} [inst : CommGroup G], CommGroup.torsion G = ⊤ ↔ IsMulTorsion G- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Subgroupstatement · cited by 3,593
- CommGroupstatement and proof · cited by 990
- IsMulTorsionstatement · cited by 35
- CommGroup.torsionstatement and proof · cited by 16
- Subgroup.eq_top_iff'proof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- CommGroup.freeRank_eq_zero_iffproof · cited by 1