Mathlib Map

Theorems · Theorem · commutative algebra

Algebra.Unramified.of_equiv

∀ {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] [Algebra.Unramified R A] (e : A ≃ₐ[R] B), Algebra.Unramified R B

Being unramified is transported via algebra isomorphisms.

Defined in
Mathlib.RingTheory.Unramified.Basic
Cited by
0 results in Mathlib
Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingAlgebraCommRingAlgebraAlgebra.Unramified
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraAlgEquiv · cited by 1681AlgEquivAlgebra.Unramified · cited by 10Algebra.UnramifiedAlgebra.FormallyUnramified.of_equiv · cited by 4FormallyUnramified.of_equ…Algebra.FiniteType.equiv · cited by 3FiniteType.equivUnramified.of_equivCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.