Theorems · Theorem · field theory

RatFunc.liftRingHom_apply

∀ {K : Type u} [inst : Field K] {L : Type u_1} [inst_1 : Field L] (φ : Polynomial K →+* L)
  (hφ : nonZeroDivisors (Polynomial K) ≤ Submonoid.comap φ (nonZeroDivisors L)) (f : RatFunc K),
  (RatFunc.liftRingHom φ hφ) f = φ f.num / φ f.denom

Defined in

Mathlib.FieldTheory.RatFunc.Basic

Cited by

0 results in Mathlib

Foundations

Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldField