Theorems · Definition · category theory
CategoryTheory.Limits.IsFiltered.sequentialFunctor
(J : Type u_2) → [Countable J] → [inst : Preorder J] → [CategoryTheory.IsFiltered J] → CategoryTheory.Functor ℕ J
The initial functor ℕᵒᵖ ⥤ J, which allows us to turn cofiltered limits over countable preorders
into sequential limits.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Preorderstatement and proof · cited by 7,952
- Countablestatement and proof · cited by 633
- CategoryTheory.homOfLEproof · cited by 554
- CategoryTheory.IsFilteredstatement and proof · cited by 210
- CategoryTheory.Limits.IsFiltered.sequentialFunctor_objproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.CountableAB4Star.of_countableAB5Starproof · cited by 0
- CategoryTheory.CountableAB4.of_countableAB5proof · cited by 0