Theorems · Definition · category theory
CategoryTheory.Limits.coprod.functor
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[CategoryTheory.Limits.HasBinaryCoproducts C] → CategoryTheory.Functor C (CategoryTheory.Functor C C)The binary coproduct functor.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Functorstatement · cited by 16,252
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Limits.coprodproof · cited by 252
- CategoryTheory.Limits.HasBinaryCoproductsstatement and proof · cited by 98
- CategoryTheory.Limits.coprod.mapproof · cited by 49
Cited by12
Results whose statement or proof uses this declaration.
- CategoryTheory.coprodMonadproof · cited by 15
- CategoryTheory.Limits.coprodComparisonNatIsostatement and proof · cited by 2
- CategoryTheory.Limits.coprodComparisonNatTransstatement · cited by 2
- CategoryTheory.Limits.coprod.functor_map_appstatement and proof · cited by 0
- CategoryTheory.Limits.coprod.functor_obj_mapstatement and proof · cited by 0
- CategoryTheory.Limits.coprod.functor_obj_objstatement and proof · cited by 0
- CategoryTheory.coprodMonad_η_appstatement · cited by 0
- CategoryTheory.coprodMonad_μ_appstatement · cited by 0
- CategoryTheory.Limits.coprodComparisonNatIso_homstatement · cited by 0
- CategoryTheory.Limits.coprodComparisonNatIso_invstatement · cited by 0
- CategoryTheory.Limits.coprodComparisonNatTrans_appstatement · cited by 0
- CategoryTheory.Limits.coprod.functorLeftCompstatement · cited by 0