Theorems · Definition · category theory
CategoryTheory.Limits.HasEnd
{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) → PropGiven F : Jᵒᵖ ⥤ J ⥤ C, this property asserts the existence of the end of F.
- Defined in
- Mathlib.CategoryTheory.Limits.Shapes.End
- Cited by
- 14 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.HasMultiequalizerproof · cited by 88
- CategoryTheory.Limits.multicospanIndexEndproof · cited by 22
Cited by20
Results whose statement or proof uses this declaration.
- CategoryTheory.Enriched.FunctorCategory.HasEnrichedHomproof · cited by 30
- CategoryTheory.Limits.end_.πstatement and proof · cited by 22
- CategoryTheory.Limits.end_statement and proof · cited by 20
- CategoryTheory.Limits.end_.hom_extstatement and proof · cited by 11
- CategoryTheory.Limits.end_.lift_πstatement and proof · cited by 9
- CategoryTheory.Limits.end_.mapstatement and proof · cited by 6
- CategoryTheory.Limits.end_.liftstatement and proof · cited by 5
- CategoryTheory.Limits.end_.conditionstatement and proof · cited by 3
- CategoryTheory.Limits.end_.map_πstatement and proof · cited by 3
- CategoryTheory.Limits.endFunctorstatement and proof · cited by 2
- CategoryTheory.Limits.end_.lift_π_assocstatement and proof · cited by 1
- CategoryTheory.Limits.end_.map_compstatement and proof · cited by 1