Theorems · Definition · category theory
CategoryTheory.Subfunctor.image
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{F F' : CategoryTheory.Functor C (Type w)} → CategoryTheory.Subfunctor F → (F ⟶ F') → CategoryTheory.Subfunctor F'The image of a subfunctor by a morphism of type-valued functors.
- Defined in
- Mathlib.CategoryTheory.Subfunctor.Image
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.NatTrans.appproof · cited by 7,406
- Set.imageproof · cited by 5,609
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- CategoryTheory.Subfunctor.objproof · cited by 227
- CategoryTheory.Subfunctorstatement and proof · cited by 112
Cited by11
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.imageproof · cited by 26
- CategoryTheory.Subfunctor.image_objstatement and proof · cited by 6
- CategoryTheory.Subfunctor.image_le_iffstatement and proof · cited by 3
- CategoryTheory.Subfunctor.IsGeneratedBy.imagestatement and proof · cited by 2
- CategoryTheory.Subfunctor.image_iSupstatement and proof · cited by 1
- CategoryTheory.Subfunctor.image_topstatement · cited by 1
- CategoryTheory.Subfunctor.ofSection_imagestatement and proof · cited by 1
- CategoryTheory.Subfunctor.image_compstatement and proof · cited by 0
- CategoryTheory.Subfunctor.image_isFinitestatement and proof · cited by 0
- CategoryTheory.Subfunctor.preimage_image_of_epistatement · cited by 0
- CategoryTheory.Subfunctor.range_compstatement · cited by 0