Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.DayConvolution.uniqueUpToIso

{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} →
              (h h' : CategoryTheory.MonoidalCategory.DayConvolution F G) →
                CategoryTheory.MonoidalCategory.DayConvolution.convolution F G ≅
                  CategoryTheory.MonoidalCategory.DayConvolution.convolution F G

Two Day convolution structures on the same functors gives an isomorphic functor.

Defined in

Mathlib.CategoryTheory.Monoidal.DayConvolution

Cited by

4 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonoidalCategory