Theorems · Theorem · category theory

CategoryTheory.Limits.coprod.desc_comp_inl_comp_inr

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {W X Y Z : C}
  [inst_1 : CategoryTheory.Limits.HasBinaryCoproduct W Y] [inst_2 : CategoryTheory.Limits.HasBinaryCoproduct X Z]
  (g : W ⟶ X) (g' : Y ⟶ Z),
  CategoryTheory.Limits.coprod.desc (CategoryTheory.CategoryStruct.comp g CategoryTheory.Limits.coprod.inl)
      (CategoryTheory.CategoryStruct.comp g' CategoryTheory.Limits.coprod.inr) =
    CategoryTheory.Limits.coprod.map g g'

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

1 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryCoproductCategoryTheory.Limits.HasBinaryCoproduct