Theorems · Theorem · category theory

CategoryTheory.CartesianMonoidalCategory.prodComparison_snd_assoc

∀ {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) {Z : D} (h : F.obj B ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.CartesianMonoidalCategory.prodComparison F A B)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.SemiCartesianMonoidalCategory.snd (F.obj A) (F.obj B)) h) =
    CategoryTheory.CategoryStruct.comp (F.map (CategoryTheory.SemiCartesianMonoidalCategory.snd A B)) h

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Basic

Cited by

2 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory