Theorems · Theorem · category theory

CategoryTheory.Biprod.unipotentLower_inv

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  [inst_2 : CategoryTheory.Limits.HasBinaryBiproducts C] {X₁ X₂ : C} (r : X₂ ⟶ X₁),
  (CategoryTheory.Biprod.unipotentLower r).inv =
    CategoryTheory.Biprod.ofComponents (CategoryTheory.CategoryStruct.id X₁) 0 (-r)
      (CategoryTheory.CategoryStruct.id X₂)

Defined in

Mathlib.CategoryTheory.Preadditive.Biproducts

Cited by

0 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Limits.HasBinaryBiproducts