proposition: Corollary reflects_all_limits_sub_precategory_inclusion {C : category} (C' : hsubtype (ob C)) : reflects_all_limits (sub_precategory_inclusion C (full_sub_precategory C')).
proof: Proof. apply fully_faithful_reflects_all_limits. apply fully_faithful_sub_precategory_inclusion. Defined.
imports: UniMath.Foundations.PartA UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Subcategory.Core UniMath.CategoryTheory.Subcategory.Full UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Limits.Graphs.Colimits