Theorems · Definition · category theory
CategoryTheory.Limits.ChosenEndsOfShape.casesOn
{J : Type u_3} →
[inst : CategoryTheory.Category.{v_3, u_3} J] →
{C : Type u_4} →
[inst_1 : CategoryTheory.Category.{v_4, u_4} C] →
{motive : CategoryTheory.Limits.ChosenEndsOfShape J C → Sort u} →
(t : CategoryTheory.Limits.ChosenEndsOfShape J C) →
((wedge : (F : CategoryTheory.Functor Jᵒᵖ (CategoryTheory.Functor J C)) → CategoryTheory.Limits.Wedge F) →
(isEnd :
(F : CategoryTheory.Functor Jᵒᵖ (CategoryTheory.Functor J C)) →
CategoryTheory.Limits.IsLimit (wedge F)) →
motive { wedge := wedge, isEnd := isEnd }) →
motive t- Defined in
- Mathlib.CategoryTheory.Limits.Chosen.End
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 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
- CategoryTheory.Limits.IsLimitstatement and proof · cited by 664
- CategoryTheory.Limits.WalkingMulticospanstatement · cited by 199
- CategoryTheory.Limits.MulticospanIndex.multicospanstatement · cited by 167
- CategoryTheory.Limits.multicospanShapeEndstatement · cited by 23
- CategoryTheory.Limits.multicospanIndexEndstatement · cited by 22
- CategoryTheory.Limits.ChosenEndsOfShapestatement and proof · cited by 14
- CategoryTheory.Limits.Wedgestatement and proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.ChosenEndsOfShape.noConfusionproof · cited by 0
- CategoryTheory.Limits.ChosenEndsOfShape.noConfusionTypeproof · cited by 0