Theorems · Theorem · group theory
CommGroup.isTorsion_quotient_range_powMonoidHom
Deprecated since 2026-07-01Use CommGroup.isMulTorsion_quotient_range_powMonoidHom instead.
∀ (G : Type u_1) [inst : CommGroup G] {n : ℕ}, n ≠ 0 → IsMulTorsion (G ⧸ (powMonoidHom n).range)Alias of CommGroup.isMulTorsion_quotient_range_powMonoidHom.
- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Subgroupstatement · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- CommGroupstatement · cited by 990
- MonoidHom.rangestatement · cited by 314
- powMonoidHomstatement · cited by 35
- IsMulTorsionstatement · cited by 35
- CommGroup.isMulTorsion_quotient_range_powMonoidHomproof · cited by 2
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