Theorems · Definition · field theory
Polynomial.derivative
{R : Type u} → [inst : Semiring R] → Polynomial R →ₗ[R] Polynomial Rderivative p is the formal derivative of the polynomial p
- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 331 results in Mathlib
- Foundations
- Depth 105 from the axioms, rests on 1,822 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.sumproof · cited by 67
Cited by348
Results whose statement or proof uses this declaration.
- Polynomial.Separableproof · cited by 117
- Polynomial.derivative_mulstatement and proof · cited by 35
- Polynomial.derivative_Xstatement · cited by 34
- Polynomial.derivative_Cstatement · cited by 30
- Polynomial.derivative_substatement and proof · cited by 22
- Polynomial.derivative_mapstatement and proof · cited by 17
- Polynomial.derivative_onestatement · cited by 17
- Polynomial.wronskianproof · cited by 16
- Polynomial.coeff_derivativestatement · cited by 14
- Polynomial.Separable.mapproof · cited by 14
- Polynomial.derivative_X_powstatement and proof · cited by 13
- Polynomial.derivative_powstatement and proof · cited by 11
Showing the 200 most cited of 348.