Theorems · Theorem · field theory
Polynomial.derivative_X
∀ {R : Type u} [inst : Semiring R], Polynomial.derivative Polynomial.X = 1- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 108 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.
Cites14
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 · cited by 5,681
- mul_oneproof · cited by 3,885
- Nat.cast_oneproof · cited by 2,501
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- map_oneproof · cited by 861
- Polynomial.derivativestatement · cited by 331
- Polynomial.monomialproof · cited by 256
Cited by34
Results whose statement or proof uses this declaration.
- Polynomial.Chebyshev.T_derivative_eq_Uproof · cited by 7
- Polynomial.iterate_derivative_comp_one_sub_Xproof · cited by 3
- Polynomial.derivative_X_sub_Cproof · cited by 3
- FiniteField.roots_X_pow_card_sub_Xproof · cited by 2
- Polynomial.separable_C_mul_X_pow_add_C_mul_X_add_Cproof · cited by 2
- Polynomial.derivative_X_add_Cproof · cited by 2
- Polynomial.derivative_eval₂_Cproof · cited by 1
- Polynomial.derivative_expandproof · cited by 1
- galois_poly_separableproof · cited by 1
- exists_derivative_mul_eq_and_isIntegral_coeffproof · cited by 1