Theorems · Theorem · category theory

CategoryTheory.HasProjectiveDimensionLT.subsingleton

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
  [inst_2 : CategoryTheory.HasExt C] (X : C) (n : ℕ) [hX : CategoryTheory.HasProjectiveDimensionLT X n] (i : ℕ),
  n ≤ i → ∀ (Y : C), Subsingleton (CategoryTheory.Abelian.Ext X Y i)

Defined in

Mathlib.CategoryTheory.Abelian.Projective.Dimension

Cited by

3 results in Mathlib

Foundations

Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.HasExtCategoryTheory.HasProjectiveDimensionLT