Theorems · Theorem · commutative algebra

IsFractionRing.ringHom_ext

∀ {A : Type u_4} [inst : CommRing A] {K : Type u_5} [inst_1 : Field K] {L : Type u_7} [inst_2 : Field L]
  [inst_3 : Algebra A K] [IsFractionRing A K] {f1 f2 : K →+* L},
  (∀ (x : A), f1 ((algebraMap A K) x) = f2 ((algebraMap A K) x)) → f1 = f2

Another version of unique to give two lift maps should be equal

Defined in

Mathlib.RingTheory.Localization.FractionRing

Cited by

2 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingFieldFieldAlgebraIsFractionRing