Theorems · Definition · category theory

CommBialgCat.isoMk

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

Build an isomorphism in the category CommBialgCat R from a BialgEquiv between Bialgebras.

Defined in

Mathlib.Algebra.Category.CommBialgCat

Cited by

3 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Quot.sound

Assumes

CommRing