Theorems · Theorem · commutative algebra

IsFractionRing.ringEquivOfRingEquiv_comp

∀ {A : Type u_8} (K : Type u_9) {B : 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] {C : Type u_12} (M : Type u_13) [inst_8 : CommRing C]
  [inst_9 : CommRing M] [inst_10 : Algebra C M] [inst_11 : IsFractionRing C M] (f : A ≃+* B) (g : B ≃+* C),
  IsFractionRing.ringEquivOfRingEquiv (f.trans g) =
    (IsFractionRing.ringEquivOfRingEquiv f).trans (IsFractionRing.ringEquivOfRingEquiv g)

Defined in

Mathlib.RingTheory.Localization.FractionRing

Cited by

1 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingCommRingCommRingAlgebraIsFractionRingAlgebraIsFractionRingCommRingCommRingAlgebraIsFractionRing