Theorems · Definition · category theory
CategoryTheory.Limits.HasMulticoequalizer
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{J : CategoryTheory.Limits.MultispanShape} → CategoryTheory.Limits.MultispanIndex J C → PropFor I : MultispanIndex J C, we say that it has a multicoequalizer if
the associated multicospan has a limit.
- Cited by
- 38 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.HasColimitproof · cited by 307
- CategoryTheory.Limits.MultispanIndex.multispanproof · cited by 139
- CategoryTheory.Limits.MultispanIndexstatement and proof · cited by 102
- CategoryTheory.Limits.MultispanShapestatement and proof · cited by 102
Cited by61
Results whose statement or proof uses this declaration.
- CategoryTheory.GlueData.gluedstatement and proof · cited by 44
- CategoryTheory.GlueData.ιstatement and proof · cited by 42
- CategoryTheory.Limits.Multicoequalizer.πstatement and proof · cited by 25
- CategoryTheory.Limits.HasCoendproof · cited by 14
- CategoryTheory.Limits.multicoequalizerstatement and proof · cited by 12
- CategoryTheory.OrthogonalReflection.succstatement and proof · cited by 11
- CategoryTheory.Limits.Multicoequalizer.descstatement and proof · cited by 10
- CategoryTheory.OrthogonalReflection.fromStepstatement and proof · cited by 9
- CategoryTheory.GlueData.gluedIsostatement and proof · cited by 9
- CategoryTheory.Limits.Multicoequalizer.hom_extstatement and proof · cited by 8
- CategoryTheory.GlueData.ι_gluedIso_invstatement and proof · cited by 8
- CategoryTheory.OrthogonalReflection.toSuccstatement and proof · cited by 7