Theorems · Theorem · group theory
CommGroup.freeRank_eq_zero
∀ {G : Type u_1} [inst : CommGroup G], IsMulTorsion G → ∀ [inst_1 : Group.FG G], CommGroup.freeRank G = 0- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CommGroupstatement and proof · cited by 990
- Group.FGstatement and proof · cited by 40
- IsMulTorsionstatement and proof · cited by 35
- CommGroup.freeRankstatement · cited by 6
- CommGroup.freeRank_eq_zero_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CommGroup.freeRank_eq_zero_of_finiteproof · cited by 0