Theorems · Definition · category theory

CategoryTheory.Bimon.equivMonComonCounitIsoAppX

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      [inst_2 : CategoryTheory.BraidedCategory C] →
        (M : CategoryTheory.Mon (CategoryTheory.Comon C)) →
          (((CategoryTheory.Bimon.ofMonComon C).comp (CategoryTheory.Bimon.toMonComon C)).obj M).X ≅ M.X

Auxiliary definition for equivMonComonCounitIsoApp.

Defined in

Mathlib.CategoryTheory.Monoidal.Bimon_

Cited by

2 results in Mathlib

Foundations

Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory