Theorems · Inductive type · category theory
CategoryTheory.Limits.MulticospanIndex
CategoryTheory.Limits.MulticospanShape →
(C : Type u) → [CategoryTheory.Category.{v, u} C] → Type (max (max (max u v) w) w')This is a structure encapsulating the data necessary to define a Multicospan.
- Cited by
- 101 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Limits.MulticospanShapestatement · cited by 160
Cited by162
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.MulticospanIndex.multicospanstatement and proof · cited by 167
- CategoryTheory.GrothendieckTopology.Cover.indexstatement · cited by 142
- CategoryTheory.Limits.MulticospanIndex.leftstatement and proof · cited by 119
- CategoryTheory.Limits.HasMultiequalizerstatement and proof · cited by 88
- CategoryTheory.Limits.MulticospanIndex.rightstatement and proof · cited by 77
- CategoryTheory.Limits.Multiforkstatement and proof · cited by 69
- CategoryTheory.Limits.Multifork.ιstatement and proof · cited by 55
- CategoryTheory.Limits.MulticospanIndex.fststatement and proof · cited by 39
- CategoryTheory.Limits.Multiequalizer.ιstatement and proof · cited by 37
- CategoryTheory.Limits.MulticospanIndex.sndstatement and proof · cited by 35
- CategoryTheory.Limits.multiequalizerstatement and proof · cited by 33
- CategoryTheory.Limits.MulticospanIndex.fstPiMapOfIsLimitstatement and proof · cited by 29