Theorems · Theorem · category theory

CategoryTheory.Limits.prodComparison_snd

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{w, u₂} D]
  (F : CategoryTheory.Functor C D) (A B : C) [inst_2 : CategoryTheory.Limits.HasBinaryProduct A B]
  [inst_3 : CategoryTheory.Limits.HasBinaryProduct (F.obj A) (F.obj B)],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.prodComparison F A B) CategoryTheory.Limits.prod.snd =
    F.map CategoryTheory.Limits.prod.snd

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

5 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasBinaryProductCategoryTheory.Limits.HasBinaryProduct