Theorems · Definition · category theory
CategoryTheory.Limits.Cofan
{β : Type w} → {C : Type u} → [CategoryTheory.Category.{v, u} C] → (β → C) → Type (max (max w u) v)A cofan over f : β → C consists of a collection of maps from every f b to an object P.
- Cited by
- 124 results in Mathlib
- Foundations
- Depth 13 from the axioms, rests on 71 definitions · 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.Discrete.functorproof · cited by 633
Cited by199
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.Cofan.injstatement and proof · cited by 170
- CategoryTheory.Limits.Cofan.mkstatement · cited by 105
- CategoryTheory.SimplicialObject.Splitting.cofanstatement · cited by 46
- CategoryTheory.Limits.MultispanIndex.fstSigmaMapOfIsColimitstatement and proof · cited by 29
- CategoryTheory.Limits.MultispanIndex.sndSigmaMapOfIsColimitstatement and proof · cited by 29
- CategoryTheory.Limits.Cofan.IsColimit.descstatement and proof · cited by 24
- CategoryTheory.Limits.FormalCoproduct.cofanstatement · cited by 20
- HomotopicalAlgebra.AttachCells.cofan₂statement · cited by 17
- CategoryTheory.Limits.Cofan.IsColimit.facstatement and proof · cited by 17
- CategoryTheory.Limits.Cofan.IsColimit.hom_extstatement and proof · cited by 16
- HomotopicalAlgebra.AttachCells.cofan₁statement · cited by 14
- CategoryTheory.PreZeroHypercover.sigmaOfIsColimitstatement and proof · cited by 9