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Theorems · Theorem · commutative algebra

Algebra.Unramified.comp

∀ (R : Type u_1) [inst : CommRing R] (A : Type u_2) (B : Type u_3) [inst_1 : CommRing A] [inst_2 : Algebra R A]
  [inst_3 : CommRing B] [inst_4 : Algebra R B] [inst_5 : Algebra A B] [IsScalarTower R A B] [Algebra.Unramified R A]
  [Algebra.Unramified A B], Algebra.Unramified R B

Unramified is stable under composition.

Defined in
Mathlib.RingTheory.Unramified.Basic
Cited by
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Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingAlgebraCommRingAlgebraAlgebraIsScalarTowerAlgebra.UnramifiedAlgebra.Unramified
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CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraIsScalarTower · cited by 3896IsScalarTowerAlgebra.FormallyUnramified.comp · cited by 12FormallyUnramified.compAlgebra.Unramified · cited by 10Algebra.UnramifiedAlgebra.FiniteType.trans · cited by 3FiniteType.transUnramified.compCITED BYCITES

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