Theorems · Theorem · field theory
Polynomial.degree_derivative_eq
Deprecated since 2026-06-03Use Polynomial.degree_derivative instead.
∀ {R : Type u} [inst : Semiring R] [IsAddTorsionFree R] (p : Polynomial R),
0 < p.natDegree → (Polynomial.derivative p).degree = ↑(p.natDegree - 1)- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringIsAddTorsionFree
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- WithBotstatement · cited by 1,498
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.degreestatement · cited by 643
- Polynomial.derivativestatement · cited by 331
- IsAddTorsionFreestatement and proof · cited by 155
- Polynomial.degree_derivativeproof · cited by 3
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