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Theorems · Definition · category theory

CategoryTheory.Limits.coconeRightOpOfCone

{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {C : Type u₃} →
      [inst_1 : CategoryTheory.Category.{v₃, u₃} C] →
        {F : CategoryTheory.Functor Jᵒᵖ C} → CategoryTheory.Limits.Cone F → CategoryTheory.Limits.Cocone F.rightOp

Change a cone on F : Jᵒᵖ ⥤ C to a cocone on F.rightOp : Jᵒᵖ ⥤ C.

Defined in
Mathlib.CategoryTheory.Limits.Cones
Cited by
16 results in Mathlib
Foundations
Depth 23 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.coconeRightOpOfConeEquiv · cited by 6Limits.coconeRightOpOfCon…CategoryTheory.Limits.isColimitCoconeRightOpOfCone · cited by 4Limits.isColimitCoconeRig…CategoryTheory.Limits.colimitRightOpIsoUnopLimit · cited by 4Limits.colimitRightOpIsoU…LightCondensed.isColimitLocallyConstantPresheafDiagram · cited by 3LightCondensed.isColimitL…CategoryTheory.Limits.isLimitOfCoconeRightOpOfCone · cited by 3Limits.isLimitOfCoconeRig…CategoryTheory.Limits.ι_comp_colimitRightOpIsoUnopLimit_hom · cited by 2Limits.ι_comp_colimitRigh…CategoryTheory.Limits.isLimitConeOfCoconeRightOp · cited by 2Limits.isLimitConeOfCocon…LightCondensed.isoLocallyConstantOfIsColimit · cited by 2LightCondensed.isoLocally…LightCondensed.lanPresheafNatIso · cited by 2LightCondensed.lanPreshea…LightCondensed.lanPresheafIso · cited by 1LightCondensed.lanPreshea…LightCondensed.lanPresheafIso_hom · cited by 1LightCondensed.lanPreshea…LightCondensed.lanPresheafNatIso_hom_app · cited by 1LightCondensed.lanPreshea…LightCondSet.isDiscrete_tfae · cited by 1LightCondSet.isDiscrete_t…LightCondSet.mem_locallyConstant_essImage_of_isColimit_mapCocone · cited by 1LightCondSet.mem_locallyC…CategoryTheory.Limits.coconeRightOpOfConeEquiv_counitIso · cited by 0Limits.coconeRightOpOfCon…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeCategoryTheory.Limits.Cone.pt · cited by 1298Cone.ptCategoryTheory.Limits.Cocone · cited by 746Limits.CoconeCategoryTheory.Limits.Cone · cited by 710Limits.ConeCategoryTheory.Limits.Cone.π · cited by 500Cone.πCategoryTheory.Functor.rightOp · cited by 214Functor.rightOpCategoryTheory.NatTrans.rightOp · cited by 18NatTrans.rightOpLimits.coconeRightOpOfConeCITED BYCITES

Cites9

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Cited by25

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