Theorems · Theorem · group theory
AddCommGroup.isTorsion_quotient_range_nsmulAddMonoidHom
Deprecated since 2026-07-01Use AddCommGroup.isAddTorsion_quotient_range_nsmulAddMonoidHom instead.
∀ (G : Type u_1) [inst : AddCommGroup G] {n : ℕ}, n ≠ 0 → IsAddTorsion (G ⧸ (nsmulAddMonoidHom n).range)Alias of AddCommGroup.isAddTorsion_quotient_range_nsmulAddMonoidHom.
- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroup
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.
- AddCommGroupstatement · cited by 12,871
- AddSubgroupstatement · cited by 3,232
- HasQuotient.Quotientstatement · cited by 2,301
- AddMonoidHom.rangestatement · cited by 142
- IsAddTorsionstatement · cited by 42
- nsmulAddMonoidHomstatement · cited by 24
- AddCommGroup.isAddTorsion_quotient_range_nsmulAddMonoidHomproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.