pointToPoint — Mathlib

English

The point in the prime spectrum corresponding to x is given by the vanishing ideal of {x}.

Русский

Точка в примарном спектре соответствует x и задается как vanishingIdeal k {x}.

LaTeX

$$pointToPoint(x) = vanishingIdeal(k, {x}) in the prime spectrum$$

Lean4

/-- The point in the prime spectrum associated to a given point -/
def pointToPoint (x : σ → K) : PrimeSpectrum (MvPolynomial σ k) :=
  ⟨(vanishingIdeal k { x } : Ideal (MvPolynomial σ k)), by infer_instance⟩

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