fact: Definition connected_category_to_connected_groupoid {G : groupoid} (H : connected_category G) : connected_groupoid G.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Categories.StandardCategories UniMath.CategoryTheory.Categories.HSET.All UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Groupoids UniMath.CategoryTheory.ZigZag