Theorems · Theorem · field theory
Polynomial.derivative_one
∀ {R : Type u} [inst : Semiring R], Polynomial.derivative 1 = 0- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 17 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.
Cites7
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 · cited by 5,681
- Polynomial.derivativestatement · cited by 331
- Polynomial.derivative_Cproof · cited by 30
Cited by17
Results whose statement or proof uses this declaration.
- Polynomial.derivative_powproof · cited by 11
- Polynomial.Chebyshev.T_derivative_eq_Uproof · cited by 7
- IsCyclotomicExtension.discr_prime_pow_ne_twoproof · cited by 4
- Polynomial.iterate_derivative_comp_one_sub_Xproof · cited by 3
- Polynomial.derivative_prodproof · cited by 3
- divRadical_dvd_derivativeproof · cited by 1
- Polynomial.derivative_bernoulliproof · cited by 1
- Lagrange.derivative_nodalproof · cited by 1
- Polynomial.Chebyshev.add_one_mul_T_eq_poly_in_Uproof · cited by 1
- Polynomial.Chebyshev.T_derivative_mem_span_Tproof · cited by 1