Theorems · Theorem · category theory

CategoryTheory.Limits.inv_prodComparison_map_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)]
  [inst_4 : CategoryTheory.IsIso (CategoryTheory.Limits.prodComparison F A B)],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.inv (CategoryTheory.Limits.prodComparison F A B))
      (F.map CategoryTheory.Limits.prod.snd) =
    CategoryTheory.Limits.prod.snd

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasBinaryProductCategoryTheory.Limits.HasBinaryProductCategoryTheory.IsIso