Theorems · Theorem · category theory

CategoryTheory.Abelian.preadditiveCoyonedaObj_map_surjective

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C] {G : C}
  [CategoryTheory.Projective G],
  CategoryTheory.IsSeparator G →
    ∀ {X : C} (p : G ⟶ X) [CategoryTheory.Epi p] {Y : C},
      Function.Surjective (CategoryTheory.preadditiveCoyonedaObj G).map

Defined in

Mathlib.CategoryTheory.Abelian.Yoneda

Cited by

1 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.ProjectiveCategoryTheory.Epi