Theorems · Theorem · field theory

Polynomial.smul_sum

∀ {R : Type u} [inst : Semiring R] {S : Type u_1} {T : Type u_2} [inst_1 : AddCommMonoid S] [inst_2 : DistribSMul T S]
  (p : Polynomial R) (b : T) (f : ℕ → R → S), b • p.sum f = p.sum fun n a => b • f n a

Defined in

Mathlib.Algebra.Polynomial.Basic

Cited by

1 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidDistribSMul