Theorems · Theorem · field theory

RatFunc.denom_div

∀ {K : Type u} [inst : Field K] (p : Polynomial K) {q : Polynomial K},
  q ≠ 0 →
    ((algebraMap (Polynomial K) (RatFunc K)) p / (algebraMap (Polynomial K) (RatFunc K)) q).denom =
      Polynomial.C (q / gcd p q).leadingCoeff⁻¹ * (q / gcd p q)

Defined in

Mathlib.FieldTheory.RatFunc.Basic

Cited by

7 results in Mathlib

Foundations

Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Field