Theorems · Definition · field theory
Polynomial.taylor
{R : Type u_1} → [inst : Semiring R] → R → Polynomial R →ₗ[R] Polynomial RThe Taylor expansion of a polynomial f at r.
- Defined in
- Mathlib.Algebra.Polynomial.Taylor
- Cited by
- 42 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.
Cites8
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
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.compproof · cited by 193
Cited by45
Results whose statement or proof uses this declaration.
- RatFunc.laurentproof · cited by 7
- IsIntegral.coeffproof · cited by 4
- Polynomial.taylorAlgHomproof · cited by 4
- Polynomial.taylor_Cstatement · cited by 4
- Polynomial.taylor_coeffstatement and proof · cited by 4
- Polynomial.natDegree_taylorstatement · cited by 4
- Polynomial.taylor_evalstatement · cited by 4
- Polynomial.taylor_Xstatement · cited by 3
- Polynomial.taylor_eq_zerostatement and proof · cited by 3
- Polynomial.taylor_mulstatement · cited by 3
- Polynomial.taylor_onestatement · cited by 3
- Polynomial.taylor_taylorstatement · cited by 3