Theorems · Definition · category theory
CategoryTheory.Subfunctor.range
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{F F' : CategoryTheory.Functor C (Type w)} → (F' ⟶ F) → CategoryTheory.Subfunctor FThe range of a morphism of type-valued functors, as a subfunctor of the target.
- Defined in
- Mathlib.CategoryTheory.Subfunctor.Image
- Cited by
- 46 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.
Cites8
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.rangeproof · cited by 4,705
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- CategoryTheory.Subfunctorstatement · cited by 112
Cited by57
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.rangeproof · cited by 49
- CategoryTheory.Subfunctor.range_objstatement and proof · cited by 14
- CategoryTheory.Subfunctor.toRangestatement · cited by 10
- CategoryTheory.Subfunctor.liftstatement and proof · cited by 9
- CategoryTheory.Subfunctor.equivalenceMonoOverproof · cited by 8
- CategoryTheory.Sheaf.imageproof · cited by 6
- CategoryTheory.Subfunctor.range_ιstatement · cited by 6
- CategoryTheory.Sheaf.imageιproof · cited by 5
- CategoryTheory.Subfunctor.lift_ιstatement and proof · cited by 4
- CategoryTheory.Subfunctor.toRange_ιstatement · cited by 3
- CategoryTheory.FunctorToTypes.monoFactorisationproof · cited by 3
- CategoryTheory.PresheafIsGeneratedBy.rangestatement · cited by 2