Theorems · Theorem · commutative algebra

IsFractionRing.smulCommClass

∀ (G : Type u_10) (A : Type u_11) (B : Type u_12) (K : Type u_13) (L : Type u_14) [inst : Group G] [inst_1 : CommRing A]
  [inst_2 : CommRing B] [inst_3 : MulSemiringAction G B] [inst_4 : Algebra A B] [inst_5 : Field K] [inst_6 : Field L]
  [inst_7 : Algebra K L] [inst_8 : Algebra A K] [inst_9 : Algebra B L] [inst_10 : Algebra A L] [IsFractionRing A K]
  [IsFractionRing B L] [IsScalarTower A K L] [IsScalarTower A B L] [inst_15 : MulSemiringAction G L]
  [SMulDistribClass G B L] [SMulCommClass G A B], SMulCommClass G K L

Defined in

Mathlib.RingTheory.Localization.FractionRing

Cited by

1 results in Mathlib

Foundations

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

Assumes

GroupCommRingCommRingMulSemiringActionAlgebraFieldFieldAlgebraAlgebraAlgebraAlgebraIsFractionRingIsFractionRingIsScalarTowerIsScalarTowerMulSemiringActionSMulDistribClassSMulCommClass