Theorems · Inductive type · category theory
CategoryTheory.Limits.HasCofilteredLimitsOfSize
(C : Type u) → [CategoryTheory.Category.{v, u} C] → PropClass for having all cofiltered limits of a given size.
- Defined in
- Mathlib.CategoryTheory.Limits.Filtered
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
Cited by16
Results whose statement or proof uses this declaration.
- CategoryTheory.AB5StarOfSizestatement · cited by 3
- CategoryTheory.Limits.hasCofilteredLimitsOfSize_of_univLEstatement and proof · cited by 2
- CategoryTheory.Limits.hasProducts_of_finite_and_cofilteredstatement and proof · cited by 2
- CategoryTheory.Limits.hasCofilteredLimitsOfSize_shrinkstatement and proof · cited by 1
- CategoryTheory.AB5StarOfSize_of_univLEstatement and proof · cited by 1
- CategoryTheory.AB4Star.of_AB5Starstatement and proof · cited by 0
- CategoryTheory.Limits.HasCofilteredLimitsOfSize.HasLimitsOfShapestatement and proof · cited by 0
- CategoryTheory.Limits.HasCofilteredLimitsOfSize.casesOnstatement and proof · cited by 0
- CategoryTheory.Limits.HasCofilteredLimitsOfSize.recOnstatement and proof · cited by 0
- CategoryTheory.AB5StarOfSize.casesOnstatement and proof · cited by 0
- CategoryTheory.AB5StarOfSize_shrinkstatement and proof · cited by 0
- CategoryTheory.AB5StarOfSize.recOnstatement and proof · cited by 0