Theorems · Definition · category theory

CategoryTheory.Abelian.Ext.chgUniv

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Abelian C] →
      [inst_2 : CategoryTheory.HasExt C] →
        [inst_3 : CategoryTheory.HasExt C] →
          {X Y : C} → {n : ℕ} → CategoryTheory.Abelian.Ext X Y n ≃ CategoryTheory.Abelian.Ext X Y n

Up to an equivalence, the type Ext.{w} X Y n does not depend on the universe w.

Defined in

Mathlib.Algebra.Homology.DerivedCategory.Ext.Basic

Cited by

5 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.HasExtCategoryTheory.HasExt