Theorems · Theorem · field theory
Polynomial.natDegree_taylor
∀ {R : Type u_1} [inst : Semiring R] (p : Polynomial R) (r : R), ((Polynomial.taylor r) p).natDegree = p.natDegree- Defined in
- Mathlib.Algebra.Polynomial.Taylor
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 113 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- mul_oneproof · cited by 3,885
- Nontrivialproof · cited by 2,416
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.taylorstatement · cited by 42
- Polynomial.natDegree_of_subsingletonproof · cited by 21
- Polynomial.leadingCoeff_pow_X_add_Cproof · cited by 1
- Polynomial.map_natDegree_eq_natDegreeproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.degree_taylorproof · cited by 2
- Polynomial.leadingCoeff_taylorproof · cited by 2
- Polynomial.exists_mul_sq_add_linear_part_eq_eval_addproof · cited by 2
- Polynomial.resultant_taylorproof · cited by 0