Theorems · Definition · group theory
Monoid.IsTorsion.torsionMulEquiv
Deprecated since 2026-07-01Use IsMulTorsion.torsionMulEquiv instead.
{G : Type u_1} → [inst : CommMonoid G] → IsMulTorsion G → ↥(CommMonoid.torsion G) ≃* GAlias of IsMulTorsion.torsionMulEquiv.
A torsion monoid is isomorphic to its torsion 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
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement · cited by 3,086
- CommMonoidstatement · cited by 2,264
- MulEquivstatement · cited by 1,142
- IsMulTorsionstatement · cited by 35
- CommMonoid.torsionstatement · cited by 12
- IsMulTorsion.torsionMulEquivproof · cited by 4
Cited by0
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