Theorems · Definition · category theory
CategoryTheory.rightExactFunctor
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
(D : Type u₂) →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.ObjectProperty (CategoryTheory.Functor C D)Right-exactness, as a property of objects in C ⥤ D.
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.ObjectPropertystatement · cited by 798
- CategoryTheory.Limits.PreservesFiniteColimitsproof · cited by 102
Cited by26
Results whose statement or proof uses this declaration.
- CategoryTheory.exactFunctorproof · cited by 23
- CategoryTheory.RightExactFunctorproof · cited by 13
- CategoryTheory.RightExactFunctor.forgetstatement and proof · cited by 7
- CategoryTheory.RightExactFunctor.whiskeringLeftstatement and proof · cited by 3
- CategoryTheory.RightExactFunctor.whiskeringRightstatement and proof · cited by 3
- CategoryTheory.RightExactFunctor.ofExactstatement · cited by 2
- CategoryTheory.AdditiveFunctor.ofRightExactstatement · cited by 2
- CategoryTheory.RightExactFunctor.ofExact_map_homstatement · cited by 0
- CategoryTheory.RightExactFunctor.ofExact_objstatement · cited by 0
- CategoryTheory.RightExactFunctor.of_fststatement · cited by 0
- CategoryTheory.RightExactFunctor.whiskeringLeft_map_appstatement · cited by 0
- CategoryTheory.RightExactFunctor.whiskeringLeft_obj_mapstatement · cited by 0