Theorems · Theorem · category theory
CategoryTheory.LeftExactFunctor.ofExact_map_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{F G : C ⥤ₑ D} (α : F ⟶ G), ((CategoryTheory.LeftExactFunctor.ofExact C D).map α).hom = α.hom- Cited by
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- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapstatement · cited by 8,698
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- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- CategoryTheory.ObjectProperty.FullSubcategorystatement · cited by 726
- CategoryTheory.leftExactFunctorstatement · cited by 25
- CategoryTheory.exactFunctorstatement · cited by 23
- CategoryTheory.LeftExactFunctorstatement · cited by 20
- CategoryTheory.ExactFunctorstatement and proof · cited by 17
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