Theorems · Theorem · field theory
Polynomial.derivative_natCast_mul
∀ {R : Type u} [inst : Semiring R] {n : ℕ} {f : Polynomial R},
Polynomial.derivative (↑n * f) = ↑n * Polynomial.derivative f- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- zero_addproof · cited by 2,366
- MulZeroClass.zero_mulproof · cited by 1,625
- Polynomial.derivativestatement and proof · cited by 331
- Polynomial.derivative_mulproof · cited by 35
- Polynomial.derivative_natCastproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.iterate_derivative_X_pow_eq_natCast_mulproof · cited by 1