Theorems · Theorem · field theory

RatFunc.denom_dvd

∀ {K : Type u} [inst : Field K] {x : RatFunc K} {q : Polynomial K},
  q ≠ 0 → (x.denom ∣ q ↔ ∃ p, x = (algebraMap (Polynomial K) (RatFunc K)) p / (algebraMap (Polynomial K) (RatFunc K)) q)

Defined in

Mathlib.FieldTheory.RatFunc.Basic

Cited by

3 results in Mathlib

Foundations

Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Field