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Theorems · Definition · category theory

CategoryTheory.Limits.coneRightOpOfCocone

{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.Cocone F → CategoryTheory.Limits.Cone F.rightOp

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

Defined in
Mathlib.CategoryTheory.Limits.Cones
Cited by
9 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.coneRightOpOfCoconeEquiv · cited by 6Limits.coneRightOpOfCocon…CategoryTheory.Limits.limitRightOpIsoOpColimit · cited by 5Limits.limitRightOpIsoOpC…CategoryTheory.Limits.isLimitConeRightOpOfCocone · cited by 4Limits.isLimitConeRightOp…CategoryTheory.Limits.limitRightOpIsoOpColimit_inv_comp_π · cited by 3Limits.limitRightOpIsoOpC…CategoryTheory.Limits.isColimitOfConeRightOpOfCocone · cited by 3Limits.isColimitOfConeRig…CategoryTheory.Limits.isColimitCoconeOfConeRightOp · cited by 2Limits.isColimitCoconeOfC…CategoryTheory.Limits.coneRightOpOfCoconeEquiv_counitIso · cited by 0Limits.coneRightOpOfCocon…CategoryTheory.Limits.coneRightOpOfCoconeEquiv_functor_map_hom · cited by 0Limits.coneRightOpOfCocon…CategoryTheory.Limits.coneRightOpOfCoconeEquiv_functor_obj · cited by 0Limits.coneRightOpOfCocon…CategoryTheory.Limits.coneRightOpOfCocone_pt · cited by 0Limits.coneRightOpOfCocon…CategoryTheory.Limits.coneRightOpOfCocone_π · cited by 0Limits.coneRightOpOfCocon…CategoryTheory.Limits.isColimitOfConeRightOpOfCocone_desc · cited by 0Limits.isColimitOfConeRig…CategoryTheory.Limits.isLimitConeRightOpOfCocone_lift · cited by 0Limits.isLimitConeRightOp…CategoryTheory.Limits.isColimitCoconeOfConeRightOp_desc · cited by 0Limits.isColimitCoconeOfC…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeCategoryTheory.Limits.Cocone.pt · cited by 1354Cocone.ptCategoryTheory.Limits.Cocone · cited by 746Limits.CoconeCategoryTheory.Limits.Cone · cited by 710Limits.ConeCategoryTheory.Limits.Cocone.ι · cited by 605Cocone.ιCategoryTheory.Functor.rightOp · cited by 214Functor.rightOpCategoryTheory.NatTrans.rightOp · cited by 18NatTrans.rightOpLimits.coneRightOpOfCoconeCITED BYCITES

Cites9

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Cited by14

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