AddSubgroup.distribSMulToLinearMap_injective_of_isTorsionFree

∀ {M : Type u_1} [inst : AddCommGroup M] [Module.IsTorsionFree ℤ M] {n : ℕ},
  n ≠ 0 → Function.Injective ⇑(DistribSMul.toLinearMap ℤ M n)

On an additive group that is torsion-free as a ℤ-module, the linear map given by multiplication by n : ℕ is injective (when n ≠ 0).

Defined in: Mathlib.GroupTheory.IndexNSmul
Cited by: 1 results in Mathlib
Foundations: Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddCommGroup Module.IsTorsionFree

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