Theorems · Theorem · field theory

Polynomial.map_prod

∀ {R : Type u} {S : Type v} [inst : CommSemiring R] [inst_1 : CommSemiring 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

10 results in Mathlib

Foundations

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

Assumes

CommSemiringCommSemiring