Theorems · Definition · category theory
CategoryTheory.Functor.EssImageSubcategory
{C : Type u₁} →
{D : Type u₂} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Functor C D → Type u₂The essential image of a functor, interpreted as a full subcategory of the target category.
- Defined in
- Mathlib.CategoryTheory.EssentialImage
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
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.ObjectProperty.FullSubcategoryproof · cited by 726
- CategoryTheory.Functor.essImageproof · cited by 82
Cited by25
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.toEssImagestatement · cited by 10
- CategoryTheory.equivEssImageOfReflectivestatement and proof · cited by 4
- CategoryTheory.Functor.toEssImageCompιstatement · cited by 2
- AlgebraicGeometry.AffineSchemeproof · cited by 2
- CategoryTheory.Functor.essImage_extstatement and proof · cited by 1
- CategoryTheory.equivEssImageOfReflective_counitIsostatement · cited by 0
- CategoryTheory.equivEssImageOfReflective_functorstatement · cited by 0
- CategoryTheory.equivEssImageOfReflective_inversestatement · cited by 0
- CategoryTheory.equivEssImageOfReflective_unitIsostatement · cited by 0
- CategoryTheory.Functor.toEssImageCompι_hom_appstatement · cited by 0
- CategoryTheory.Functor.EssImageSubcategory.tensor_objstatement and proof · cited by 0
- CategoryTheory.Functor.EssImageSubcategory.toUnit_defstatement and proof · cited by 0