Theorems · Theorem · commutative algebra

Algebra.FormallyUnramified.comp

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

Defined in

Mathlib.RingTheory.Unramified.Basic

Cited by

12 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebraAlgebraIsScalarTowerAlgebra.FormallyUnramifiedAlgebra.FormallyUnramified