Theorems · Theorem · field theory
Polynomial.derivative_X_add_C
∀ {R : Type u} [inst : Semiring R] (c : R), Polynomial.derivative (Polynomial.X + Polynomial.C c) = 1- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 2 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.
Cites13
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
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- add_zeroproof · cited by 2,707
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.derivativestatement and proof · cited by 331
- Polynomial.derivative_Xproof · cited by 34
- Polynomial.derivative_Cproof · cited by 30
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.derivative_X_add_C_powproof · cited by 1
- Polynomial.derivative_X_add_C_sqproof · cited by 0