Theorems · Theorem · category theory

CategoryTheory.CartesianMonoidalCategory.prodComparisonNatIso_hom

∀ {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 : C)
  [inst_4 : ∀ (B : C), CategoryTheory.Limits.PreservesLimit (CategoryTheory.Limits.pair A B) F],
  (CategoryTheory.CartesianMonoidalCategory.prodComparisonNatIso F A).hom =
    CategoryTheory.CartesianMonoidalCategory.prodComparisonNatTrans F A

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Basic

Cited by

0 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.Limits.PreservesLimit