Theorems · Definition · category theory

CommHopfAlgCat.isoMk

{R : Type u} →
  [inst : CommRing R] →
    {X Y : Type v} →
      {x : CommRing X} →
        {x_1 : CommRing Y} →
          {x_2 : HopfAlgebra R X} →
            {x_3 : HopfAlgebra R Y} →
              (X ≃ₐc[R] Y) →
                ({ X := X, commRing := x, hopfAlgebra := x_2 } ≅ { X := Y, commRing := x_1, hopfAlgebra := x_3 })

Build an isomorphism in the category CommHopfAlgCat R from a BialgEquiv between HopfAlgebras.

Defined in

Mathlib.Algebra.Category.CommHopfAlgCat

Cited by

3 results in Mathlib

Foundations

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

Assumes

CommRing