Theorems · Theorem · category theory

CategoryTheory.projectiveDimension_ne_top_iff

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C] (X : C),
  CategoryTheory.projectiveDimension X ≠ ⊤ ↔ ∃ n, CategoryTheory.HasProjectiveDimensionLE X n

Defined in

Mathlib.CategoryTheory.Abelian.Projective.Dimension

Cited by

0 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Abelian