Theorems · Theorem · commutative algebra

Polynomial.sylvester_map_map

∀ {R : Type u_1} {S : Type u_2} [inst : Semiring R] [inst_1 : Semiring S] (f g : Polynomial R) (m n : ℕ) (φ : R →+* S),
  (Polynomial.map φ f).sylvester (Polynomial.map φ g) m n = φ.mapMatrix (f.sylvester g m n)

Defined in

Mathlib.RingTheory.Polynomial.Resultant.Basic

Cited by

1 results in Mathlib

Foundations

Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiring