Theorems · Theorem · algebraic geometry
MvPolynomial.vanishingIdeal_pointToPoint
∀ {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)), PrimeSpectrum.vanishingIdeal (MvPolynomial.pointToPoint '' V) = MvPolynomial.vanishingIdeal k V- Defined in
- Mathlib.RingTheory.Nullstellensatz
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Set.imagestatement and proof · cited by 5,609
- Finsuppstatement · cited by 5,255
- Idealstatement · cited by 4,748
- MvPolynomialstatement and proof · cited by 2,140
- le_antisymmproof · cited by 2,068
- PrimeSpectrumstatement and proof · cited by 625
- PrimeSpectrum.asIdealproof · cited by 333
- Set.mem_singleton_iffproof · cited by 172
- PrimeSpectrum.vanishingIdealstatement and proof · cited by 36
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