Theorems · Definition · category theory

CategoryTheory.Functor.mapCommGrpFunctor

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      [inst_2 : CategoryTheory.BraidedCategory C] →
        {D : Type u₂} →
          [inst_3 : CategoryTheory.Category.{v₂, u₂} D] →
            [inst_4 : CategoryTheory.CartesianMonoidalCategory D] →
              [inst_5 : CategoryTheory.BraidedCategory D] →
                CategoryTheory.Functor (C ⥤ₗ D)
                  (CategoryTheory.Functor (CategoryTheory.CommGrp C) (CategoryTheory.CommGrp D))

mapCommGrp is functorial in the left-exact functor.

Defined in

Mathlib.CategoryTheory.Monoidal.CommGrp_

Cited by

2 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.BraidedCategory