Ideal.eq_span_singleton_of_height_eq_one

∀ {R : Type u_1} [inst : CommRing R] [IsDomain R] {p : Ideal R} [p.IsPrime],
  p.height = 1 → ∀ {x : R}, x ∈ p → Prime x → p = Ideal.span {x}

Defined in: Mathlib.RingTheory.Ideal.Height
Cited by: 2 results in Mathlib
Foundations: Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing IsDomain Ideal.IsPrime

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