Theorems · Definition · category theory
CategoryTheory.LeftExactFunctor.ofExact
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
(D : Type u₂) → [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Functor (C ⥤ₑ D) (C ⥤ₗ D)Turn an exact functor into a left exact functor.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.leftExactFunctorstatement · cited by 25
- CategoryTheory.exactFunctorstatement · cited by 23
- CategoryTheory.LeftExactFunctorstatement · cited by 20
- CategoryTheory.ExactFunctorstatement · cited by 17
- CategoryTheory.ObjectProperty.ιOfLEproof · cited by 13
- CategoryTheory.exactFunctor_le_leftExactFunctorproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.LeftExactFunctor.ofExact_map_homstatement · cited by 0
- CategoryTheory.LeftExactFunctor.ofExact_objstatement · cited by 0