proposition: Lemma isaprop_iscompact {C : category} (X : C) : isaprop (is_compact X).
proof: Proof. do 6 (apply impred_isaprop ; intro). apply isaprop_isColimCocone. 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