Theorems · Theorem · algebraic geometry

MvPolynomial.le_zeroLocus_iff_le_vanishingIdeal

∀ {k : Type u_1} {K : Type u_2} [inst : Field k] [inst_1 : Field K] [inst_2 : Algebra k K] {σ : Type u_3}
  {V : Set (σ → K)} {I : Ideal (MvPolynomial σ k)}, V ⊆ MvPolynomial.zeroLocus K I ↔ I ≤ MvPolynomial.vanishingIdeal k V

Defined in

Mathlib.RingTheory.Nullstellensatz

Cited by

1 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebra