Theorems · Definition · category theory
CategoryTheory.Limits.WidePushoutShape.wideSpan
{J : Type w} →
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
(B : C) →
(objs : J → C) → ((j : J) → B ⟶ objs j) → CategoryTheory.Functor (CategoryTheory.Limits.WidePushoutShape J) CConstruct a functor out of the wide pushout shape given a J-indexed collection of arrows from a fixed object.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Limits.WidePushoutShapestatement and proof · cited by 47
- CategoryTheory.Limits.WidePushoutShape.Hom.casesOnproof · cited by 2
Cited by16
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.spanproof · cited by 294
- CategoryTheory.Limits.HasWidePushoutproof · cited by 33
- CategoryTheory.Limits.widePushoutproof · cited by 20
- CategoryTheory.Limits.WidePushout.headproof · cited by 13
- CategoryTheory.Limits.WidePushout.ιproof · cited by 13
- CategoryTheory.Limits.WidePushout.descproof · cited by 10
- CategoryTheory.Limits.WidePushout.arrow_ιproof · cited by 2
- CategoryTheory.Limits.WidePushoutShape.equivalenceOfEquivproof · cited by 1
- CategoryTheory.Limits.Concrete.widePushout_exists_repstatement and proof · cited by 1
- RingHom.EssFiniteType.exists_eq_comp_ι_app_of_isColimitproof · cited by 1
- CategoryTheory.Limits.WidePushoutShape.diagramIsoWideSpanstatement · cited by 0
- CategoryTheory.Limits.WidePushoutShape.wideSpan_mapstatement and proof · cited by 0