Theorems · Definition · category theory

CategoryTheory.RightExactFunctor.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.PreservesFiniteColimits F] → C ⥤ᵣ D

Turn a right exact functor into an object of the category RightExactFunctor C D.

Defined in: Mathlib.CategoryTheory.Limits.ExactFunctor
Cited by: 2 results in Mathlib
Foundations: Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Limits.PreservesFiniteColimits

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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.PreservesFiniteColimitsstatement and proof · cited by 102
CategoryTheory.RightExactFunctorstatement · cited by 13

Cited by2

Results whose statement or proof uses this declaration.

CategoryTheory.RightExactFunctor.of_fststatement · cited by 0
CategoryTheory.RightExactFunctor.forget_obj_ofstatement · cited by 0