Theorems · Theorem · category theory

CategoryTheory.hasExt_iff_small_ext

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
  [inst_2 : CategoryTheory.HasExt C],
  CategoryTheory.HasExt C ↔ ∀ (X Y : C) (n : ℕ), Small.{w', w} (CategoryTheory.Abelian.Ext X Y n)

Defined in

Mathlib.Algebra.Homology.DerivedCategory.Ext.Basic

Cited by

2 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.HasExt