Theorems · Definition · category theory
CategoryTheory.Limits.coneOfCoconeRightOp
{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.rightOp → CategoryTheory.Limits.Cone FChange a cocone on F.rightOp : J ⥤ Cᵒᵖ to a cone 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.Cocone.ptproof · cited by 1,354
- CategoryTheory.Limits.Coconestatement and proof · cited by 746
- CategoryTheory.Limits.Conestatement · cited by 710
- CategoryTheory.Limits.Cocone.ιproof · cited by 605
- 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.coconeRightOpOfConeEquivproof · cited by 6
- CategoryTheory.Limits.isColimitCoconeRightOpOfConeproof · cited by 4
- CategoryTheory.Limits.isLimitConeOfCoconeRightOpstatement and proof · cited by 2
- CategoryTheory.Limits.hasLimit_of_hasColimit_rightOpproof · cited by 1
- CategoryTheory.Limits.isColimitOfConeOfCoconeRightOpstatement and proof · cited by 1
- CategoryTheory.Limits.isColimitCoconeRightOpOfCone_descstatement · cited by 0
- CategoryTheory.Limits.coconeRightOpOfConeEquiv_counitIsostatement · cited by 0
- CategoryTheory.Limits.coneOfCoconeRightOp_ptstatement and proof · cited by 0
- CategoryTheory.Limits.coconeRightOpOfConeEquiv_inverse_mapstatement · cited by 0
- CategoryTheory.Limits.coconeRightOpOfConeEquiv_inverse_objstatement · cited by 0
- CategoryTheory.Limits.coneOfCoconeRightOp_πstatement and proof · cited by 0
- CategoryTheory.Limits.isLimitConeOfCoconeRightOp_liftstatement · cited by 0