Theorems · Definition · algebraic geometry
PrimeSpectrum.ConstructibleSetData.degBound
{R : Type u_1} → [inst : CommSemiring R] → PrimeSpectrum.ConstructibleSetData (Polynomial R) → ℕThe degree bound on a constructible set for Chevalley's theorem for the inclusion R ↪ R[X].
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- Polynomial.degreeproof · cited by 643
- Finset.supproof · cited by 530
- WithBot.succproof · cited by 30
- PrimeSpectrum.BasicConstructibleSetDataproof · cited by 22
- PrimeSpectrum.BasicConstructibleSetData.gproof · cited by 13
- PrimeSpectrum.BasicConstructibleSetData.nproof · cited by 10
- PrimeSpectrum.ConstructibleSetDatastatement and proof · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- ChevalleyThm.chevalley_polynomialCstatement and proof · cited by 2
- PrimeSpectrum.isConstructible_comap_Cproof · cited by 1
- ChevalleyThm.chevalley_mvPolynomialCproof · cited by 1