Theorems · Theorem · group theory
IsAddTorsionFree.nsmul_right_injective
∀ {M : Type u_2} {inst : AddMonoid M} [self : IsAddTorsionFree M] ⦃n : ℕ⦄, n ≠ 0 → Function.Injective fun a => n • a- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- IsAddTorsionFree
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- IsAddTorsionFreestatement and proof · cited by 155
Cited by2
Results whose statement or proof uses this declaration.
- nsmul_right_injectiveproof · cited by 8
- Function.Injective.isAddTorsionFreeproof · cited by 0