Theorems · Definition · category theory
CategoryTheory.Limits.multicospanIndexEnd
{J : Type u} →
[inst : CategoryTheory.Category.{v, u} J] →
{C : Type u'} →
[inst_1 : CategoryTheory.Category.{v', u'} C] →
CategoryTheory.Functor Jᵒᵖ (CategoryTheory.Functor J C) →
CategoryTheory.Limits.MulticospanIndex (CategoryTheory.Limits.multicospanShapeEnd J) CGiven F : Jᵒᵖ ⥤ J ⥤ C, this is the multicospan index which shall be used
to define the end of F.
- Defined in
- Mathlib.CategoryTheory.Limits.Shapes.End
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appproof · cited by 7,406
- Quiver.Hom.opproof · cited by 1,948
- CategoryTheory.Arrow.leftproof · cited by 426
- CategoryTheory.Arrow.rightproof · cited by 423
- CategoryTheory.Arrow.homproof · cited by 335
- CategoryTheory.Limits.MulticospanShape.Lproof · cited by 135
- CategoryTheory.Limits.MulticospanShape.Rproof · cited by 124
Cited by39
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.end_.πproof · cited by 22
- CategoryTheory.Limits.end_proof · cited by 20
- CategoryTheory.Limits.HasEndproof · cited by 14
- CategoryTheory.Limits.end_.hom_extproof · cited by 11
- CategoryTheory.Limits.end_.lift_πproof · cited by 9
- CategoryTheory.Limits.Wedgeproof · cited by 8
- CategoryTheory.Limits.Wedge.mkproof · cited by 8
- CategoryTheory.Limits.end_.liftproof · cited by 5
- CategoryTheory.Limits.Wedge.IsLimit.liftstatement · cited by 5
- CategoryTheory.MonoidalCategory.DayConvolutionInternalHom.isLimitWedgestatement · cited by 4
- CategoryTheory.MonoidalCategory.DayConvolutionInternalHom.map_app_comp_πproof · cited by 4
- CategoryTheory.Limits.end_.conditionproof · cited by 3