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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) C

Given 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
Assumes
CategoryTheory.CategoryCategoryTheory.Category

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Limits.end_.π · cited by 22end_.πCategoryTheory.Limits.end_ · cited by 20Limits.end_CategoryTheory.Limits.HasEnd · cited by 14Limits.HasEndCategoryTheory.Limits.end_.hom_ext · cited by 11end_.hom_extCategoryTheory.Limits.end_.lift_π · cited by 9end_.lift_πCategoryTheory.Limits.Wedge · cited by 8Limits.WedgeCategoryTheory.Limits.Wedge.mk · cited by 8Wedge.mkCategoryTheory.Limits.end_.lift · cited by 5end_.liftCategoryTheory.Limits.Wedge.IsLimit.lift · cited by 5IsLimit.liftCategoryTheory.MonoidalCategory.DayConvolutionInternalHom.isLimitWedge · cited by 4DayConvolutionInternalHom…CategoryTheory.MonoidalCategory.DayConvolutionInternalHom.map_app_comp_π · cited by 4DayConvolutionInternalHom…CategoryTheory.Limits.end_.condition · cited by 3end_.conditionCategoryTheory.MonoidalCategory.DayConvolutionInternalHom.coev_app_π · cited by 3DayConvolutionInternalHom…CategoryTheory.Limits.Wedge.condition · cited by 3Wedge.conditionCategoryTheory.Limits.Wedge.IsLimit.hom_ext · cited by 3IsLimit.hom_extCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapOpposite · cited by 8081OppositeCategoryTheory.NatTrans.app · cited by 7406NatTrans.appQuiver.Hom.op · cited by 1948Hom.opCategoryTheory.Arrow.left · cited by 426Arrow.leftCategoryTheory.Arrow.right · cited by 423Arrow.rightCategoryTheory.Arrow.hom · cited by 335Arrow.homCategoryTheory.Limits.MulticospanShape.L · cited by 135MulticospanShape.LCategoryTheory.Limits.MulticospanShape.R · cited by 124MulticospanShape.RCategoryTheory.Limits.MulticospanIndex · cited by 101Limits.MulticospanIndexCategoryTheory.Limits.multicospanShapeEnd · cited by 23Limits.multicospanShapeEndLimits.multicospanIndexEndCITED BYCITES

Cites14

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Cited by39

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