Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.DayConvolutionUnit.can

{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 : CategoryTheory.Functor C V} →
              [self : CategoryTheory.MonoidalCategory.DayConvolutionUnit F] →
                CategoryTheory.MonoidalCategoryStruct.tensorUnit V ⟶
                  F.obj (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)

A "canonical" structure map 𝟙_ V ⟶ F.obj (𝟙_ C) that defines a natural transformation fromPUnit (𝟙_ V) ⟶ fromPUnit (𝟙_ C) ⋙ F.

Defined in

Mathlib.CategoryTheory.Monoidal.DayConvolution

Cited by

14 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.MonoidalCategory.DayConvolutionUnit