Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.DayConvolution.map

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {V : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} V] →
        [inst_2 : CategoryTheory.MonoidalCategory C] →
          [inst_3 : CategoryTheory.MonoidalCategory V] →
            {F G : CategoryTheory.Functor C V} →
              [inst_4 : CategoryTheory.MonoidalCategory.DayConvolution F G] →
                {F' G' : CategoryTheory.Functor C V} →
                  [inst_5 : CategoryTheory.MonoidalCategory.DayConvolution F' G'] →
                    (F ⟶ F') →
                      (G ⟶ G') →
                        (CategoryTheory.MonoidalCategory.DayConvolution.convolution F G ⟶
                          CategoryTheory.MonoidalCategory.DayConvolution.convolution F' G')

The morphism between Day convolutions (provided they exist) induced by a pair of morphisms.

Defined in

Mathlib.CategoryTheory.Monoidal.DayConvolution

Cited by

21 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonoidalCategory.DayConvolutionCategoryTheory.MonoidalCategory.DayConvolution