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Theorems · Theorem · category theory

CategoryTheory.Projective.projective_iff_preservesEpimorphisms_preadditiveCoyonedaObj

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] (P : C),
  CategoryTheory.Projective P ↔ (CategoryTheory.preadditiveCoyonedaObj P).PreservesEpimorphisms
Defined in
Mathlib.CategoryTheory.Preadditive.Yoneda.Projective
Cited by
1 results in Mathlib
Foundations
Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Preadditive
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Around this declaration

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CategoryTheory.projective_of_preservesFiniteColimits_preadditiveCoyonedaObj · cited by 0CategoryTheory.projective…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.Preadditive · cited by 3309CategoryTheory.PreadditiveModuleCat · cited by 1429ModuleCatMulOpposite · cited by 1135MulOppositeCategoryTheory.forget · cited by 418CategoryTheory.forgetCategoryTheory.End · cited by 169CategoryTheory.EndCategoryTheory.Projective · cited by 78CategoryTheory.ProjectiveCategoryTheory.Functor.PreservesEpimorphisms · cited by 41Functor.PreservesEpimorph…CategoryTheory.preadditiveCoyonedaObj · cited by 11CategoryTheory.preadditiv…CategoryTheory.Functor.preservesEpimorphisms_of_preserves_of_reflects · cited by 4Functor.preservesEpimorph…CategoryTheory.Projective.projective_iff_preservesEpimorphisms_coyoneda_obj · cited by 3Projective.projective_iff…Projective.projective_iff_pre…CITED BYCITES

Cites12

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Cited by1

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