Theorems · Theorem · field theory
Polynomial.derivativeFinsupp_apply_apply
∀ {R : Type u} [inst : Semiring R] (p : Polynomial R) (x : ℕ),
(Polynomial.derivativeFinsupp p) x = (⇑Polynomial.derivative)^[x] p- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 115 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
- Finsuppstatement · cited by 5,255
- Nat.iteratestatement · cited by 740
- Polynomial.derivativestatement · cited by 331
- Polynomial.derivativeFinsuppstatement and proof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.derivativeFinsupp_Cproof · cited by 1
- Polynomial.derivativeFinsupp_derivativeproof · cited by 0
- Polynomial.derivativeFinsupp_mapproof · cited by 0
- Polynomial.derivativeFinsupp_Xproof · cited by 0