Theorems · Definition · category theory

Ext

(R : Type u_1) →
  [inst : Ring R] →
    (C : Type u_2) →
      [inst_1 : CategoryTheory.Category.{v_1, u_2} C] →
        [inst_2 : CategoryTheory.Abelian C] →
          [CategoryTheory.Linear R C] →
            [CategoryTheory.EnoughProjectives C] →
              ℕ → CategoryTheory.Functor Cᵒᵖ (CategoryTheory.Functor C (ModuleCat R))

Ext R C n is defined by deriving in the first argument of (X, Y) ↦ ModuleCat.of R (unop X ⟶ Y) (which is the second argument of linearYoneda).

Defined in

Mathlib.CategoryTheory.Abelian.Ext

Cited by

1 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingCategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.LinearCategoryTheory.EnoughProjectives