Theorems · Theorem · group theory
AddCommGroup.mem_torsion
∀ {G : Type u_1} [inst : AddCommGroup G] (g : G), g ∈ AddCommGroup.torsion G ↔ IsOfFinAddOrder g- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- AddSubgroupstatement · cited by 3,232
- IsOfFinAddOrderstatement · cited by 105
- AddCommGroup.torsionstatement · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- AddCommGroup.torsion_sumproof · cited by 0
- AddCommGroup.isAddTorsionFree_iff_torsion_eq_botproof · cited by 0