Mathlib Map

Theorems · Theorem · group theory

CommGroup.torsion_eq_torsion_submonoid

∀ (G : Type u_1) [inst : CommGroup G], CommMonoid.torsion G = (CommGroup.torsion G).toSubmonoid

The torsion submonoid of an abelian group equals the torsion subgroup as a submonoid.

Defined in
Mathlib.GroupTheory.Torsion
Cited by
0 results in Mathlib
Foundations
Depth 44 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.

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.