Theorems · Definition · category theory

CategoryTheory.Biprod.unipotentLower

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Preadditive C] →
      [inst_2 : CategoryTheory.Limits.HasBinaryBiproducts C] → {X₁ X₂ : C} → (X₂ ⟶ X₁) → (X₁ ⊞ X₂ ≅ X₁ ⊞ X₂)

The unipotent lower triangular matrix `` (1 0) (r 1) `` as an isomorphism.

Defined in

Mathlib.CategoryTheory.Preadditive.Biproducts

Cited by

2 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Limits.HasBinaryBiproducts