Theorems · Definition · category theory
CategoryTheory.Limits.BinaryCofan.mk
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → {X Y P : C} → (X ⟶ P) → (Y ⟶ P) → CategoryTheory.Limits.BinaryCofan X YA binary cofan with vertex P consists of the two inclusions ι₁ : X ⟶ P and ι₂ : Y ⟶ P.
- Cited by
- 83 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Discreteproof · cited by 2,447
- CategoryTheory.Limits.WalkingPairproof · cited by 1,319
- CategoryTheory.Functor.constproof · cited by 1,264
- CategoryTheory.Limits.pairproof · cited by 536
- CategoryTheory.Limits.BinaryCofanstatement · cited by 58
Cited by122
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.coprod.descproof · cited by 69
- CategoryTheory.Limits.coprod.desc_compproof · cited by 22
- CategoryTheory.Limits.biprod.inl_descproof · cited by 20
- CategoryTheory.Limits.biprod.inr_descproof · cited by 18
- CategoryTheory.Limits.BinaryBicone.toCoconeproof · cited by 16
- CategoryTheory.Limits.coprod.map_descproof · cited by 16
- AlgebraicGeometry.Scheme.Hom.normalizationCoprodIsostatement and proof · cited by 15
- CategoryTheory.Limits.BinaryCofan.IsColimit.descproof · cited by 12
- CategoryTheory.Limits.coprodIsCoprodstatement · cited by 11
- CategoryTheory.Limits.coprod.inl_descproof · cited by 10
- CategoryTheory.Limits.coprod.inr_descproof · cited by 10
- CategoryTheory.Limits.pushoutCoconeEquivBinaryCofanproof · cited by 7