Theorems · Definition · category theory
CategoryTheory.Limits.BinaryCofan
{C : Type u} → [CategoryTheory.Category.{v, u} C] → C → C → Type (max (max 0 u) v)A binary cofan is just a cocone on a diagram indexing a coproduct.
- Cited by
- 58 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- CategoryTheory.Limits.Coconeproof · cited by 746
- CategoryTheory.Limits.pairproof · cited by 536
Cited by112
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.BinaryCofan.mkstatement · cited by 83
- CategoryTheory.Limits.BinaryCofan.inlstatement and proof · cited by 51
- CategoryTheory.Limits.BinaryCofan.inrstatement and proof · cited by 51
- CategoryTheory.Limits.BinaryCofan.IsColimit.descstatement and proof · cited by 12
- CategoryTheory.Limits.BinaryCofan.IsColimit.hom_extstatement and proof · cited by 8
- CategoryTheory.Limits.pushoutCoconeEquivBinaryCofanstatement and proof · cited by 7
- CategoryTheory.Limits.BinaryCofan.IsColimit.mkstatement and proof · cited by 7
- CommRingCat.coproductCoconestatement · cited by 5
- CategoryTheory.FunctorToTypes.binaryCoproductCoconestatement · cited by 4
- CategoryTheory.extendCofanstatement and proof · cited by 4
- CategoryTheory.Limits.BinaryCofan.IsColimit.desc'statement and proof · cited by 4
- CategoryTheory.Limits.BinaryCofan.IsColimit.inr_descstatement and proof · cited by 4