Theorems · Theorem · commutative algebra
Polynomial.hilbertPoly_mul_one_sub_succ
∀ {F : Type u_1} [inst : Field F] [CharZero F] (p : Polynomial F) (d : ℕ),
(p * (1 - Polynomial.X)).hilbertPoly (d + 1) = p.hilbertPoly d- Cited by
- 1 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- Polynomialstatement and proof · cited by 5,681
- Units.valproof · cited by 1,966
- mul_assocproof · cited by 1,667
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.natDegreeproof · cited by 1,105
- CharZerostatement and proof · cited by 932
- pow_oneproof · cited by 894
- PowerSeriesproof · cited by 797
- Polynomial.evalproof · cited by 796
- PowerSeries.coeffproof · cited by 324
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.hilbertPoly_mul_one_sub_pow_addproof · cited by 2