Theorems · Definition · category theory
CategoryTheory.LeftExactFunctor.forget
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
(D : Type u₂) →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Functor (C ⥤ₗ D) (CategoryTheory.Functor C D)A left exact functor is in particular a functor.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 16,252
- CategoryTheory.ObjectProperty.ιproof · cited by 95
- CategoryTheory.leftExactFunctorstatement and proof · cited by 25
- CategoryTheory.LeftExactFunctorstatement · cited by 20
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.LeftExactFunctor.whiskeringRightproof · cited by 3
- CategoryTheory.LeftExactFunctor.whiskeringLeftproof · cited by 3
- CategoryTheory.LeftExactFunctor.whiskeringRight_map_appstatement · cited by 0
- CategoryTheory.LeftExactFunctor.whiskeringRight_obj_mapstatement · cited by 0
- CategoryTheory.LeftExactFunctor.forget_mapstatement · cited by 0
- CategoryTheory.LeftExactFunctor.forget_objstatement · cited by 0
- CategoryTheory.LeftExactFunctor.forget_obj_ofstatement · cited by 0
- CategoryTheory.LeftExactFunctor.fullyFaithfulstatement · cited by 0
- CategoryTheory.LeftExactFunctor.whiskeringLeft_map_appstatement · cited by 0
- CategoryTheory.LeftExactFunctor.whiskeringLeft_obj_mapstatement · cited by 0