Theorems · Theorem · category theory

CategoryTheory.Mat_.embeddingLiftIso_inv_app

∀ {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 : C),
  (CategoryTheory.Mat_.embeddingLiftIso F).inv.app X =
    CategoryTheory.Limits.biproduct.lift fun x => CategoryTheory.CategoryStruct.id (F.obj X)

Defined in

Mathlib.CategoryTheory.Preadditive.Mat

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

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