Theorems · Theorem · category theory
CategoryTheory.Functor.preservesEpimorphisms_of_adjunction_of_preservesProjectiveObjects
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
[CategoryTheory.EnoughProjectives C] {F : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D C} (adj : F ⊣ G)
[F.PreservesProjectiveObjects], G.PreservesEpimorphisms- Cited by
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- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Functor.map_compproof · cited by 734
- CategoryTheory.Epiproof · cited by 688
- CategoryTheory.Adjunctionstatement and proof · cited by 524
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