Polynomial.height_map_C

∀ {R : Type u_1} [inst : CommRing R] [IsNoetherianRing R] (p : Ideal R) [p.IsMaximal],
  (Ideal.map Polynomial.C p).height = p.height

Let p be a maximal ideal of R. Then the height of p[X] equals the height of p.

Defined in: Mathlib.RingTheory.KrullDimension.Polynomial
Cited by: 1 results in Mathlib
Foundations: Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing IsNoetherianRing Ideal.IsMaximal

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