Theorems · Theorem · commutative algebra

IsFractionRing.semilinearEquivOfRingEquiv_symm_apply

∀ {A : Type u_8} {B : Type u_9} (K : Type u_10) (L : Type u_11) [inst : CommRing A] [inst_1 : CommRing B]
  [inst_2 : CommRing K] [inst_3 : CommRing L] [inst_4 : Algebra A K] [inst_5 : IsFractionRing A K]
  [inst_6 : Algebra B L] [inst_7 : IsFractionRing B L] (f : A ≃+* B) (x : L),
  (IsFractionRing.semilinearEquivOfRingEquiv K L f).symm x = (IsFractionRing.ringEquivOfRingEquiv f).symm x

Defined in

Mathlib.RingTheory.Localization.FractionRing

Cited by

0 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingCommRingCommRingAlgebraIsFractionRingAlgebraIsFractionRing