Theorems · Theorem · category theory

CategoryTheory.Mat_.lift_obj

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Preadditive C] {D : Type u₁}
  [inst_2 : CategoryTheory.Category.{v₁, u₁} D] [inst_3 : CategoryTheory.Preadditive D]
  [inst_4 : CategoryTheory.Limits.HasFiniteBiproducts D] (F : CategoryTheory.Functor C D) [inst_5 : F.Additive]
  (X : CategoryTheory.Mat_ C), (CategoryTheory.Mat_.lift F).obj X = ⨁ fun i => F.obj (X.X i)

Defined in

Mathlib.CategoryTheory.Preadditive.Mat

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Limits.HasFiniteBiproductsCategoryTheory.Functor.Additive