Theorems · Definition · category theory
CategoryTheory.Functor.toEventualRanges
{J : Type u} →
[inst : CategoryTheory.Category.{v_1, u} J] →
CategoryTheory.Functor J (Type v) → [CategoryTheory.IsCofilteredOrEmpty J] → CategoryTheory.Functor J (Type v)The subfunctor of F obtained by restricting to the eventual range at each index.
- Defined in
- Mathlib.CategoryTheory.CofilteredSystem
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Set.Elemproof · cited by 7,166
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- TypeCat.ofHomproof · cited by 389
- Set.MapsTo.restrictproof · cited by 57
- CategoryTheory.IsCofilteredOrEmptystatement and proof · cited by 55
- CategoryTheory.Functor.eventualRangeproof · cited by 13
- CategoryTheory.Functor.eventualRange_mapsToproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.toEventualRanges_objstatement and proof · cited by 1
- CategoryTheory.Functor.toEventualRanges_nonemptystatement and proof · cited by 0
- CategoryTheory.Functor.surjective_toEventualRangesstatement and proof · cited by 0
- CategoryTheory.Functor.toEventualRangesSectionsEquivstatement and proof · cited by 0
- CategoryTheory.Functor.toEventualRanges_mapstatement and proof · cited by 0