Theorems · Definition · category theory

CategoryTheory.CartesianMonoidalCategory.terminalComparison

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      {D : Type u₁} →
        [inst_2 : CategoryTheory.Category.{v₁, u₁} D] →
          [inst_3 : CategoryTheory.CartesianMonoidalCategory D] →
            (F : CategoryTheory.Functor C D) →
              F.obj (CategoryTheory.MonoidalCategoryStruct.tensorUnit C) ⟶
                CategoryTheory.MonoidalCategoryStruct.tensorUnit D

When C and D have chosen finite products and F : C ⥤ D is any functor, terminalComparison F is the unique map F (𝟙_ C) ⟶ 𝟙_ D.

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Basic

Cited by

5 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory