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Theorems · Theorem · algebraic geometry

MvPolynomial.zeroLocus_anti_mono

∀ {k : Type u_1} {K : Type u_2} [inst : Field k] [inst_1 : Field K] [inst_2 : Algebra k K] {σ : Type u_3}
  {I J : Ideal (MvPolynomial σ k)}, I ≤ J → MvPolynomial.zeroLocus K J ⊆ MvPolynomial.zeroLocus K I
Defined in
Mathlib.RingTheory.Nullstellensatz
Cited by
1 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebra
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Around this declaration

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MvPolynomial.zeroLocus_vanishingIdeal_galoisConnection · cited by 1MvPolynomial.zeroLocus_va…Set · cited by 53352SetAlgebra · cited by 11388AlgebraField · cited by 7404FieldFinsupp · cited by 5255FinsuppIdeal · cited by 4748IdealMvPolynomial · cited by 2140MvPolynomialMvPolynomial.zeroLocus · cited by 15MvPolynomial.zeroLocusMvPolynomial.zeroLocus_anti_m…CITED BYCITES

Cites7

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Cited by1

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