Theorems · Definition · field theory
Polynomial.derivativeFinsupp
{R : Type u} → [inst : Semiring R] → Polynomial R →ₗ[R] ℕ →₀ Polynomial RIterated derivatives as a finite support function.
- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 114 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Finset.rangeproof · cited by 1,341
- Polynomial.natDegreeproof · cited by 1,105
- Nat.iterateproof · cited by 740
- Polynomial.derivativeproof · cited by 331
- Finsupp.onFinsetproof · cited by 20
Cited by11
Results whose statement or proof uses this declaration.
- Polynomial.sumIDerivproof · cited by 15
- Polynomial.sumIDeriv_applyproof · cited by 6
- Polynomial.derivativeFinsupp_apply_applystatement and proof · cited by 4
- Polynomial.sumIDeriv_apply_of_leproof · cited by 2
- Polynomial.derivativeFinsupp_Cstatement and proof · cited by 1
- Polynomial.support_derivativeFinsupp_subset_rangestatement · cited by 0
- Polynomial.sumIDeriv_apply_of_ltproof · cited by 0
- Polynomial.derivativeFinsupp_Xstatement and proof · cited by 0
- Polynomial.derivativeFinsupp_derivativestatement · cited by 0
- Polynomial.derivativeFinsupp_mapstatement · cited by 0
- Polynomial.derivativeFinsupp_onestatement and proof · cited by 0