Theorems · Theorem · field theory
Polynomial.smeval_def
∀ {R : Type u_3} [inst : Semiring R] (p : Polynomial R) {S : Type u_4} [inst_1 : AddCommMonoid S] [inst_2 : Pow S ℕ]
[inst_3 : MulActionWithZero R S] (x : S), p.smeval x = p.sum (Polynomial.smul_pow x)- Defined in
- Mathlib.Algebra.Polynomial.Smeval
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Polynomialstatement and proof · cited by 5,681
- MulActionWithZerostatement and proof · cited by 79
- Polynomial.sumstatement and proof · cited by 67
- Polynomial.smevalstatement · cited by 65
- Polynomial.smul_powstatement and proof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.smeval_eq_sumproof · cited by 9
- Polynomial.aeval_eq_smevalproof · cited by 1