Theorems · Definition · category theory
CategoryTheory.Limits.multispanShapeCoend
(J : Type u) → [CategoryTheory.Category.{v, u} J] → CategoryTheory.Limits.MultispanShapeThe shape of multicoequalizer diagrams involved in the definition of coends.
- Defined in
- Mathlib.CategoryTheory.Limits.Shapes.End
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- 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.Arrowproof · cited by 713
- CategoryTheory.Arrow.leftproof · cited by 426
- CategoryTheory.Arrow.rightproof · cited by 423
- CategoryTheory.Limits.MultispanShapestatement · cited by 102
Cited by27
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.multispanIndexCoendstatement and proof · cited by 17
- CategoryTheory.Limits.Cowedge.IsColimit.descstatement · cited by 3
- CategoryTheory.Limits.Cowedge.conditionstatement · cited by 3
- CategoryTheory.Limits.coend.hom_extproof · cited by 3
- CategoryTheory.Limits.chosenCoend.hom_extproof · cited by 3
- CategoryTheory.Limits.ChosenCoendsOfShape.isCoendstatement · cited by 2
- CategoryTheory.Limits.Cowedge.extstatement · cited by 2
- CategoryTheory.Limits.Cowedge.IsColimit.π_descstatement · cited by 1
- CategoryTheory.Limits.multispanIndexCoend_fststatement and proof · cited by 0
- CategoryTheory.Limits.multispanIndexCoend_leftstatement and proof · cited by 0
- CategoryTheory.Limits.multispanIndexCoend_rightstatement and proof · cited by 0
- CategoryTheory.Limits.multispanIndexCoend_sndstatement and proof · cited by 0