proposition: Lemma is_functor_full_dagger_img : is_functor full_dagger_img_functor_data.
proof: Proof. split. - intro ; apply subtypePath. { intro; apply isapropunit. } apply functor_id. - intro ; intros ; apply subtypePath. { intro ; apply isapropunit. } apply functor_comp. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Subcategory.Core UniMath.CategoryTheory.Subcategory.Full UniMath.CategoryTheory.DaggerCategories.Categories UniMath.CategoryTheory.DaggerCategories.Unitary UniMath.CategoryTheory.DaggerCategories.Univalence UniMath.CategoryTheory.DaggerCategories.Functors UniMath.CategoryTheory.DaggerCategories.Functors.WeakEquivalences UniMath.CategoryTheory.DaggerCategories.Examples.Fullsub