Theorems · Definition · category theory
CategoryTheory.Functor.Elements.precomp
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{D : Type u_1} →
[inst_1 : CategoryTheory.Category.{u_2, u_1} D] →
(F : CategoryTheory.Functor C D) →
(G : CategoryTheory.Functor D (Type w)) → CategoryTheory.Functor (F.comp G).Elements G.ElementsThe functor (F ⋙ G).Elements ⥤ G.Elements.
- Defined in
- Mathlib.CategoryTheory.Elements
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Functor.Elementsstatement and proof · cited by 141
- CategoryTheory.Functor.elementsMkproof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.Elements.precomp_obj_sndstatement and proof · cited by 0
- CategoryTheory.Functor.Elements.precomp_map_coestatement and proof · cited by 0
- CategoryTheory.Functor.Elements.precomp_obj_fststatement and proof · cited by 0