Theorems · Definition · category theory
CategoryTheory.Limits.Wedge
{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) → Type (max (max (max u v) u') v')Given F : Jᵒᵖ ⥤ J ⥤ C, a wedge for F is a type of cones (specifically
the type of multiforks for multicospanIndexEnd F):
the point of universal of these wedges shall be the end of F.
- Defined in
- Mathlib.CategoryTheory.Limits.Shapes.End
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- CategoryTheory.Limits.Multiforkproof · cited by 69
- CategoryTheory.Limits.multicospanIndexEndproof · cited by 22
Cited by18
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.Wedge.mkstatement · cited by 8
- CategoryTheory.Limits.Wedge.IsLimit.liftstatement and proof · cited by 5
- CategoryTheory.Limits.Wedge.conditionstatement and proof · cited by 3
- CategoryTheory.Limits.Wedge.IsLimit.hom_extstatement and proof · cited by 3
- CategoryTheory.Limits.Wedge.IsLimit.lift_ιstatement and proof · cited by 3
- CategoryTheory.Limits.Wedge.extstatement and proof · cited by 2
- CategoryTheory.Limits.ChosenEndsOfShape.wedgestatement · cited by 1
- CategoryTheory.Limits.ChosenEndsOfShape.casesOnstatement and proof · cited by 0
- CategoryTheory.Limits.ChosenEndsOfShape.noConfusionproof · cited by 0
- CategoryTheory.Limits.ChosenEndsOfShape.noConfusionTypeproof · cited by 0
- CategoryTheory.Limits.ChosenEndsOfShape.recOnstatement and proof · cited by 0
- CategoryTheory.Limits.Wedge.IsLimit.lift.congr_simpstatement and proof · cited by 0