Theorems · Definition · category theory
CategoryTheory.Limits.Bicone.toBinaryBiconeFunctor
{C : Type uC} →
[inst : CategoryTheory.Category.{uC', uC} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
{X Y : C} →
CategoryTheory.Functor (CategoryTheory.Limits.Bicone (CategoryTheory.Limits.pairFunction X Y))
(CategoryTheory.Limits.BinaryBicone X Y)Convert a Bicone over a function on WalkingPair to a BinaryBicone.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- CategoryTheory.Limits.BinaryBiconestatement · cited by 111
- CategoryTheory.Limits.Biconestatement and proof · cited by 75
- CategoryTheory.Limits.Bicone.ptproof · cited by 60
- CategoryTheory.Limits.Bicone.πproof · cited by 40
- CategoryTheory.Limits.Bicone.ιproof · cited by 37
- CategoryTheory.Limits.pairFunctionstatement and proof · cited by 14
- CategoryTheory.Limits.BiconeMorphism.homproof · cited by 13
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.Bicone.toBinaryBiconeproof · cited by 1
- CategoryTheory.Limits.Bicone.toBinaryBiconeFunctor_map_homstatement and proof · cited by 0
- CategoryTheory.Limits.Bicone.toBinaryBiconeFunctor_obj_fststatement and proof · cited by 0
- CategoryTheory.Limits.Bicone.toBinaryBiconeFunctor_obj_inlstatement and proof · cited by 0
- CategoryTheory.Limits.Bicone.toBinaryBiconeFunctor_obj_inrstatement and proof · cited by 0
- CategoryTheory.Limits.Bicone.toBinaryBiconeFunctor_obj_ptstatement and proof · cited by 0
- CategoryTheory.Limits.Bicone.toBinaryBiconeFunctor_obj_sndstatement and proof · cited by 0