Theorems · Theorem · group theory
AddCommMonoid.mem_torsion
∀ (G : Type u_1) [inst : AddCommMonoid G] (g : G), g ∈ AddCommMonoid.addTorsion G ↔ IsOfFinAddOrder g
- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
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.
- AddCommMonoidstatement and proof · cited by 12,281
- AddSubmonoidstatement · cited by 1,178
- IsOfFinAddOrderstatement · cited by 105
- AddCommMonoid.addTorsionstatement · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- AddCommMonoid.torsion_sumproof · cited by 0