Theorems · Theorem · group theory
isAddTorsion_of_finite
∀ {G : Type u_1} [inst : AddGroup G] [Finite G], IsAddTorsion GFinite additive groups are torsion additive groups.
- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 77 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.
- AddGroupstatement and proof · cited by 4,410
- Finitestatement and proof · cited by 3,029
- IsAddTorsionstatement · cited by 42
- ExponentExists.isAddTorsionproof · cited by 2
- AddMonoid.ExponentExists.of_finiteproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- IsAddTorsion.module_of_finiteproof · cited by 1
- is_add_torsion_of_finiteproof · cited by 0
- AddCommGroup.freeRank_eq_zero_of_finiteproof · cited by 0