Theorems · Definition · category theory
CategoryTheory.Limits.pointwiseBinaryBicone
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
[CategoryTheory.Limits.HasBinaryBiproducts C] →
{D : Type u_2} →
[inst_3 : CategoryTheory.Category.{v_2, u_2} D] →
(F G : CategoryTheory.Functor D C) → CategoryTheory.Limits.BinaryBicone F GThe binary bicone associated to the biproduct of functors F and G
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Limits.biprodproof · cited by 312
- CategoryTheory.Limits.HasBinaryBiproductsstatement and proof · cited by 165
- CategoryTheory.Limits.biprod.sndproof · cited by 132
- CategoryTheory.Limits.biprod.inlproof · cited by 127
- CategoryTheory.Limits.biprod.fstproof · cited by 121
- CategoryTheory.Limits.BinaryBiconestatement · cited by 111
Cited by11
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.pointwiseBinaryBicone.isBilimitstatement and proof · cited by 2
- CategoryTheory.Limits.pointwiseBinaryBiproductDataproof · cited by 1
- CategoryTheory.Limits.pointwiseBinaryBicone_fst_appstatement and proof · cited by 0
- CategoryTheory.Limits.pointwiseBinaryBicone_inl_appstatement and proof · cited by 0
- CategoryTheory.Limits.pointwiseBinaryBicone_inr_appstatement and proof · cited by 0
- CategoryTheory.Limits.pointwiseBinaryBicone_pt_mapstatement and proof · cited by 0
- CategoryTheory.Limits.pointwiseBinaryBicone_pt_objstatement and proof · cited by 0
- CategoryTheory.Limits.pointwiseBinaryBicone_snd_appstatement and proof · cited by 0
- CategoryTheory.Limits.pointwiseBinaryBiproductData_biconestatement · cited by 0
- CategoryTheory.Limits.pointwiseBinaryBicone.isBilimit_isColimitstatement · cited by 0
- CategoryTheory.Limits.pointwiseBinaryBicone.isBilimit_isLimitstatement · cited by 0