Theorems · Definition · category theory
CategoryTheory.Limits.coconeOfConeRightOp
{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.rightOp → CategoryTheory.Limits.Cocone FChange a cone on F.rightOp : J ⥤ Cᵒᵖ to a cocone on F : Jᵒᵖ ⥤ C.
- Defined in
- Mathlib.CategoryTheory.Limits.Cones
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- Opposite.unopproof · cited by 2,231
- CategoryTheory.Limits.Cone.ptproof · cited by 1,298
- CategoryTheory.Limits.Coconestatement · cited by 746
- CategoryTheory.Limits.Conestatement and proof · cited by 710
- CategoryTheory.Limits.Cone.πproof · cited by 500
- CategoryTheory.Functor.rightOpstatement and proof · cited by 214
- CategoryTheory.NatTrans.removeRightOpproof · cited by 4
Cited by13
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.coneRightOpOfCoconeEquivproof · cited by 6
- CategoryTheory.Limits.isLimitConeRightOpOfCoconeproof · cited by 4
- CategoryTheory.Limits.isColimitCoconeOfConeRightOpstatement and proof · cited by 2
- CategoryTheory.Limits.hasColimit_of_hasLimit_rightOpproof · cited by 1
- CategoryTheory.Limits.isLimitOfCoconeOfConeRightOpstatement and proof · cited by 1
- CategoryTheory.Limits.coconeOfConeRightOp_ptstatement and proof · cited by 0
- CategoryTheory.Limits.coconeOfConeRightOp_ιstatement and proof · cited by 0
- CategoryTheory.Limits.coneRightOpOfCoconeEquiv_counitIsostatement · cited by 0
- CategoryTheory.Limits.coneRightOpOfCoconeEquiv_inverse_mapstatement · cited by 0
- CategoryTheory.Limits.coneRightOpOfCoconeEquiv_inverse_objstatement · cited by 0
- CategoryTheory.Limits.isLimitOfCoconeOfConeRightOp_liftstatement and proof · cited by 0
- CategoryTheory.Limits.isLimitConeRightOpOfCocone_liftstatement · cited by 0