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
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement · cited by 3,086
- CommGroupstatement and proof · cited by 990
- Subgroup.toSubmonoidstatement · cited by 114
- CommGroup.torsionstatement · cited by 16
- CommMonoid.torsionstatement · cited by 12
Cited by0
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