Theorems · Definition · category theory
CategoryTheory.LeftExactFunctor.of
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
(F : CategoryTheory.Functor C D) → [CategoryTheory.Limits.PreservesFiniteLimits F] → C ⥤ₗ DTurn a left exact functor into an object of the category LeftExactFunctor C D.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 24 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.Limits.PreservesFiniteLimitsstatement and proof · cited by 121
- CategoryTheory.LeftExactFunctorstatement · cited by 20
Cited by4
Results whose statement or proof uses this declaration.
- AddCommGrpCat.leftExactFunctorForgetEquivalence.unitIsostatement · cited by 0
- AddCommGrpCat.leftExactFunctorForgetEquivalenceproof · cited by 0
- CategoryTheory.LeftExactFunctor.of_fststatement · cited by 0
- CategoryTheory.LeftExactFunctor.forget_obj_ofstatement · cited by 0