Theorems · Theorem · field theory

RatFunc.num_div

∀ {K : Type u} [inst : Field K] (p q : Polynomial K),
  ((algebraMap (Polynomial K) (RatFunc K)) p / (algebraMap (Polynomial K) (RatFunc K)) q).num =
    Polynomial.C (q / gcd p q).leadingCoeff⁻¹ * (p / gcd p q)

Defined in

Mathlib.FieldTheory.RatFunc.Basic

Cited by

6 results in Mathlib

Foundations

Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Field