Theorems · Theorem · field theory
Polynomial.coeff_zero_eq_aeval_zero
∀ {R : Type u} [inst : CommSemiring R] (p : Polynomial R), p.coeff 0 = (Polynomial.aeval 0) p- Defined in
- Mathlib.Algebra.Polynomial.AlgebraMap
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- Polynomial.coeffstatement · cited by 1,045
- Polynomial.evalproof · cited by 796
- Polynomial.aevalstatement · cited by 615
- Polynomial.coeff_zero_eq_eval_zeroproof · cited by 20
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.cyclotomic_dvd_of_mahlerMeasure_eq_oneproof · cited by 0
- Polynomial.isNilpotent_iffproof · cited by 0