Theorems · Theorem · commutative algebra
Polynomial.natDegree_preHilbertPoly
∀ (F : Type u_1) [inst : Field F] [CharZero F] (d k : ℕ), (Polynomial.preHilbertPoly F d k).natDegree = d
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Polynomialproof · cited by 5,681
- mul_oneproof · cited by 3,885
- Nat.cast_zeroproof · cited by 1,870
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.natDegreestatement and proof · cited by 1,105
- CharZerostatement and proof · cited by 932
- ne_of_gtproof · cited by 637
- Nat.factorialproof · cited by 616
- map_subproof · cited by 565
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.coeff_preHilbertPoly_selfproof · cited by 2
- Polynomial.natDegree_hilbertPoly_of_ne_zero_of_rootMultiplicity_ltproof · cited by 1
- Polynomial.leadingCoeff_preHilbertPolyproof · cited by 0