Theorems · Theorem · category theory

CategoryTheory.CartesianMonoidalCategory.prodComparison_snd

∀ {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) (A B : C),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.CartesianMonoidalCategory.prodComparison F A B)
      (CategoryTheory.SemiCartesianMonoidalCategory.snd (F.obj A) (F.obj B)) =
    F.map (CategoryTheory.SemiCartesianMonoidalCategory.snd A B)

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Basic

Cited by

8 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory