proposition: Lemma filtered_is_inhabited {J : category} (filtered : is_filtered J) : ∥ J ∥.
proof: Proof. exact(hinhfun pr1 (filtered empty_graph make_empty_diagram is_finite_graph_empty)). Qed.
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