Theorems · Theorem · category theory

CategoryTheory.Limits.coprod.inl_map

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

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

11 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryCoproductCategoryTheory.Limits.HasBinaryCoproduct