Theorems · Theorem · field theory

Polynomial.smeval_C_mul

∀ (R : Type u_1) [inst : Semiring R] (r : R) (p : Polynomial R) {S : Type u_2} [inst_1 : NonAssocSemiring S]
  [inst_2 : Module R S] [inst_3 : Pow S ℕ] (x : S), (Polynomial.C r * p).smeval x = r • p.smeval x

Defined in

Mathlib.Algebra.Polynomial.Smeval

Cited by

3 results in Mathlib

Foundations

Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringNonAssocSemiringModulePow