Definition fully_faithful_reflect_dagger {C D : category} {F : functor C D} (dagD : dagger D) (ff : fully_faithful F) : dagger C := _ ,, fully_faithful_reflect_dagger_laws dagD ff.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.DaggerCategories.Categories. Require Import UniMath.CategoryTheory.DaggerCategories.Functors. Require Import UniMath.CategoryTheory.DaggerCategories.Unitary.