Theorems · Definition · category theory

BialgEquiv.toBialgIso

{R : Type u} →
  [inst : CommRing R] →
    {X Y : Type v} →
      [inst_1 : Ring X] →
        [inst_2 : Ring Y] →
          [inst_3 : Bialgebra R X] → [inst_4 : Bialgebra R Y] → (X ≃ₐc[R] Y) → (BialgCat.of R X ≅ BialgCat.of R Y)

Build an isomorphism in the category BialgCat R from a BialgEquiv.

Defined in

Mathlib.Algebra.Category.BialgCat.Basic

Cited by

8 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Quot.sound

Assumes

CommRingRingRingBialgebraBialgebra