Theorems · Theorem · field theory
Polynomial.derivative_natCast
∀ {R : Type u} [inst : Semiring R] {n : ℕ}, Polynomial.derivative ↑n = 0- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 107 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.
Cites9
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
- Polynomial.Cproof · cited by 1,598
- Polynomial.derivativestatement and proof · cited by 331
- map_natCastproof · cited by 134
- Polynomial.derivative_Cproof · cited by 30
Cited by6
Results whose statement or proof uses this declaration.
- Polynomial.iterate_derivative_natCast_mulproof · cited by 4
- Polynomial.iterate_derivative_mulproof · cited by 4
- Polynomial.derivative_natCast_mulproof · cited by 1
- bernsteinPolynomial.derivative_succ_auxproof · cited by 1
- Polynomial.derivative_ofNatproof · cited by 1
- Polynomial.iterate_derivative_X_add_powproof · cited by 1