Theorems · Inductive type · category theory
CategoryTheory.Limits.HasFilteredColimitsOfSize
(C : Type u) → [CategoryTheory.Category.{v, u} C] → PropClass for having all filtered colimits of a given size.
- Defined in
- Mathlib.CategoryTheory.Limits.Filtered
- Cited by
- 13 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 by24
Results whose statement or proof uses this declaration.
- CategoryTheory.AB5OfSizestatement · cited by 5
- CategoryTheory.Limits.hasCoproducts_of_finite_and_filteredstatement and proof · cited by 3
- CategoryTheory.Limits.hasFilteredColimitsOfSize_of_univLEstatement and proof · cited by 2
- CategoryTheory.Limits.HasFilteredColimitsproof · cited by 1
- CategoryTheory.AB5OfSize_of_univLEstatement and proof · cited by 1
- CategoryTheory.Limits.hasFilteredColimitsOfSize_shrinkstatement and proof · cited by 1
- CategoryTheory.IsGrothendieckAbelian.of_equivalenceproof · cited by 1
- CategoryTheory.HasCardinalFilteredColimits_iff_hasFilteredColimitsOfSizestatement and proof · cited by 1
- CategoryTheory.Limits.IsIPCstatement · cited by 1
- CategoryTheory.IsGrothendieckAbelian.casesOnstatement and proof · cited by 0
- CategoryTheory.AB4.of_AB5statement and proof · cited by 0
- CategoryTheory.AB5OfSize.casesOnstatement and proof · cited by 0