Theorems · Theorem · field theory
Polynomial.eval_zero_map
∀ {R : Type u} {S : Type v} [inst : Semiring R] [inst_1 : Semiring S] (f : R →+* S) (p : Polynomial R),
Polynomial.eval 0 (Polynomial.map f p) = f (Polynomial.eval 0 p)- Defined in
- Mathlib.Algebra.Polynomial.Eval.Coeff
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
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 and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement and proof · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.coeffproof · cited by 1,045
- Polynomial.mapstatement and proof · cited by 806
- Polynomial.evalstatement · cited by 796
- Polynomial.coeff_mapproof · cited by 114
Cited by4
Results whose statement or proof uses this declaration.
- bernoulliFun_eval_zeroproof · cited by 3
- hasSum_zeta_natproof · cited by 3
- riemannZeta_neg_nat_eq_bernoulli'proof · cited by 1
- Polynomial.cyclotomic_dvd_of_mahlerMeasure_eq_oneproof · cited by 0