Theorems · Theorem · field theory
Polynomial.derivative_comp_one_sub_X
∀ {R : Type u} [inst : CommRing R] (p : Polynomial R),
Polynomial.derivative (p.comp (1 - Polynomial.X)) = -(Polynomial.derivative p).comp (1 - Polynomial.X)- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites15
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
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- one_mulproof · cited by 2,841
- Polynomial.Xstatement and proof · cited by 1,639
- neg_mulproof · cited by 654
- zero_subproof · cited by 335
- Polynomial.derivativestatement and proof · cited by 331
- Polynomial.compstatement and proof · cited by 193
- Polynomial.derivative_Xproof · cited by 34
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