Theorems · Definition · group theory
Torsion.ofTorsion
Deprecated since 2026-07-01Use CommMonoid.Torsion.ofTorsion instead.
(G : Type u_1) → [inst : CommMonoid G] → ↥(CommMonoid.torsion ↥(CommMonoid.torsion G)) ≃* ↥(CommMonoid.torsion G)
Alias of CommMonoid.Torsion.ofTorsion.
Torsion submonoids of a torsion submonoid are isomorphic to the submonoid.
- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 45 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.
Cites5
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
- CommMonoid.torsionstatement · cited by 12
- CommMonoid.Torsion.ofTorsionproof · cited by 0
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