Theorems · Definition · category theory
CategoryTheory.Limits.Multicofork
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{J : CategoryTheory.Limits.MultispanShape} →
CategoryTheory.Limits.MultispanIndex J C → Type (max (max (max w w') u) v)A multicofork is a cocone over a multispan.
- Cited by
- 43 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.MultispanIndex.multispanproof · cited by 139
- CategoryTheory.Limits.MultispanIndexstatement and proof · cited by 102
- CategoryTheory.Limits.MultispanShapestatement and proof · cited by 102
Cited by67
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.Multicofork.πstatement and proof · cited by 50
- CategoryTheory.Limits.Multicofork.ofπstatement · cited by 15
- CategoryTheory.Limits.MultispanIndex.multicoforkEquivSigmaCoforkstatement · cited by 11
- SSet.horn₃₂.desc.multicoforkstatement · cited by 10
- SSet.horn₃₁.desc.multicoforkstatement · cited by 10
- CategoryTheory.Limits.MultispanIndex.ofSigmaCoforkFunctorstatement · cited by 9
- CategoryTheory.Limits.MultispanIndex.toSigmaCoforkFunctorstatement and proof · cited by 9
- CategoryTheory.Limits.Multicofork.conditionstatement and proof · cited by 9
- CategoryTheory.Limits.Cowedgeproof · cited by 8
- CategoryTheory.Limits.Multicofork.ofSigmaCoforkstatement · cited by 6
- CategoryTheory.Limits.Multicofork.toSigmaCoforkstatement and proof · cited by 5
- CategoryTheory.Limits.MultispanIndex.multicoforkEquivSigmaCoforkOfIsColimitstatement and proof · cited by 4