Theorems · Definition · category theory

CategoryTheory.LaxBraidedFunctor.isoMk

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      [inst_2 : CategoryTheory.BraidedCategory C] →
        {D : Type u₂} →
          [inst_3 : CategoryTheory.Category.{v₂, u₂} D] →
            [inst_4 : CategoryTheory.MonoidalCategory D] →
              [inst_5 : CategoryTheory.BraidedCategory D] →
                {F G : CategoryTheory.LaxBraidedFunctor C D} →
                  (e : F.toFunctor ≅ G.toFunctor) → [CategoryTheory.NatTrans.IsMonoidal e.hom] → F ≅ G

Constructor for isomorphisms in the category LaxBraidedFunctor C D.

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

2 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.NatTrans.IsMonoidal