Theorems · Definition · category theory
CategoryTheory.Limits.Multifork
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{J : CategoryTheory.Limits.MulticospanShape} →
CategoryTheory.Limits.MulticospanIndex J C → Type (max (max (max w w') u) v)A multifork is a cone over a multicospan.
- Cited by
- 69 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.Coneproof · cited by 710
- CategoryTheory.Limits.MulticospanIndex.multicospanproof · cited by 167
- CategoryTheory.Limits.MulticospanShapestatement and proof · cited by 160
- CategoryTheory.Limits.MulticospanIndexstatement and proof · cited by 101
Cited by104
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.Multifork.ιstatement and proof · cited by 55
- CategoryTheory.Limits.Multifork.ofιstatement · cited by 21
- CategoryTheory.PreOneHypercover.multiforkstatement · cited by 13
- CategoryTheory.Limits.MulticospanIndex.multiforkEquivPiForkstatement · cited by 11
- CategoryTheory.Limits.Multifork.conditionstatement and proof · cited by 10
- CategoryTheory.Limits.MulticospanIndex.ofPiForkFunctorstatement · cited by 9
- CategoryTheory.Limits.MulticospanIndex.toPiForkFunctorstatement and proof · cited by 9
- CategoryTheory.Limits.Wedgeproof · cited by 8
- CategoryTheory.Limits.Multifork.IsLimit.hom_extstatement and proof · cited by 6
- CategoryTheory.Limits.Multifork.ofPiForkstatement · cited by 6
- CategoryTheory.Limits.Multifork.toPiForkstatement and proof · cited by 6
- CategoryTheory.PreOneHypercover.Hom.mapMultiforkOfIsLimitstatement and proof · cited by 6