Theorems · Definition · category theory

CommAlgCat.isoMk

{R : Type u} →
  [inst : CommRing R] →
    {X Y : Type v} →
      {x : CommRing X} →
        {x_1 : CommRing Y} →
          {x_2 : Algebra R X} → {x_3 : Algebra R Y} → (X ≃ₐ[R] Y) → (CommAlgCat.of R X ≅ CommAlgCat.of R Y)

Build an isomorphism in the category CommAlgCat R from an AlgEquiv between commutative Algebras.

Defined in

Mathlib.Algebra.Category.CommAlgCat.Basic

Cited by

4 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Quot.sound

Assumes

CommRing