fact: Definition is_filtered (J : category) : UU := ∏ (g : graph) (d : diagram g J), (is_finite_graph g) -> ∥ ∑ (z : J), cocone d z ∥.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.covyoneda UniMath.Combinatorics.StandardFiniteSets UniMath.Combinatorics.FiniteSets UniMath.CategoryTheory.Limits.StandardDiagrams