Theorems · Theorem · category theory

CategoryTheory.Limits.biproduct.components_matrix

∀ {J : Type} [inst : Finite J] {K : Type} [inst_1 : Finite K] {C : Type u} [inst_2 : CategoryTheory.Category.{v, u} C]
  [inst_3 : CategoryTheory.Limits.HasZeroMorphisms C] [inst_4 : CategoryTheory.Limits.HasFiniteBiproducts C] {f : J → C}
  {g : K → C} (m : ⨁ f ⟶ ⨁ g),
  (CategoryTheory.Limits.biproduct.matrix fun j k => CategoryTheory.Limits.biproduct.components m j k) = m

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Biproducts

Cited by

0 results in Mathlib

Foundations

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

Assumes

FiniteFiniteCategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasFiniteBiproducts