Theorems · Definition · category theory
CategoryTheory.Limits.sigmaFunctor
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[CategoryTheory.Limits.HasCoproducts C] → CategoryTheory.Functor C (CategoryTheory.Functor (Type w) C)The functor C ⥤ Type w ⥤ C which sends X : C and α : Type w to
the coproduct of copies of X indexed by α.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- CategoryTheory.Limits.sigmaObjproof · cited by 302
- CategoryTheory.Limits.HasCoproductsstatement and proof · cited by 119
- CategoryTheory.Limits.Sigma.map'proof · cited by 24
- CategoryTheory.Limits.Sigma.mapproof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.sigmaFunctor_map_appstatement and proof · cited by 0
- CategoryTheory.Limits.sigmaFunctor_obj_mapstatement and proof · cited by 0
- CategoryTheory.Limits.sigmaFunctor_obj_objstatement and proof · cited by 0