Theorems · Theorem · field theory

Polynomial.map_sum

∀ {R : Type u} {S : Type v} [inst : Semiring R] [inst_1 : Semiring S] (f : R →+* S) {ι : Type u_1}
  (g : ι → Polynomial R) (s : Finset ι), Polynomial.map f (∑ i ∈ s, g i) = ∑ i ∈ s, Polynomial.map f (g i)

Defined in

Mathlib.Algebra.Polynomial.Eval.Defs

Cited by

9 results in Mathlib

Foundations

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

Assumes

SemiringSemiring