Theorems · Definition · category theory
CategoryTheory.LeftExactFunctor
(C : Type u₁) →
[CategoryTheory.Category.{v₁, u₁} C] →
(D : Type u₂) → [CategoryTheory.Category.{v₂, u₂} D] → Type (max (max (max u₁ u₂) v₁) v₂)Bundled left-exact functors.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- CategoryTheory.ObjectProperty.FullSubcategoryproof · cited by 726
- CategoryTheory.leftExactFunctorproof · cited by 25
Cited by35
Results whose statement or proof uses this declaration.
- CategoryTheory.LeftExactFunctor.forgetstatement · cited by 7
- CategoryTheory.LeftExactFunctor.whiskeringRightstatement and proof · cited by 3
- CategoryTheory.LeftExactFunctor.whiskeringLeftstatement and proof · cited by 3
- CategoryTheory.AdditiveFunctor.ofLeftExactstatement · cited by 2
- CategoryTheory.Functor.mapGrpFunctorstatement and proof · cited by 2
- CategoryTheory.Functor.mapCommGrpFunctorstatement and proof · cited by 2
- CategoryTheory.Functor.mapAddGrpFunctorstatement and proof · cited by 2
- CategoryTheory.LeftExactFunctor.ofstatement · cited by 2
- CategoryTheory.LeftExactFunctor.ofExactstatement · cited by 2
- AddCommGrpCat.leftExactFunctorForgetEquivalence.inverseAuxstatement · cited by 1
- CategoryTheory.LeftExactFunctor.whiskeringLeft_obj_obj_objstatement and proof · cited by 0
- CategoryTheory.LeftExactFunctor.whiskeringRight_map_appstatement and proof · cited by 0