Ideal.mulQuot_injective

∀ {R : Type u_1} [inst : CommRing R] {a : R} (I : Ideal R),
  a ∈ nonZeroDivisors R → Function.Injective ⇑(Ideal.mulQuot a I)

The map R ⧸ I →ₗ[R] R ⧸ (a • I) defined by multiplication by a is injective if a is a nonzero divisor.

Defined in: Mathlib.RingTheory.OrderOfVanishing.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

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