Definition right_adjoint_preserves_monics {C D : category} (R : C ⟶ D) (HR : is_right_adjoint R) (L := left_adjoint HR) (η := unit_from_right_adjoint HR) (ε := counit_from_right_adjoint HR) {x y : C} {f : x --> y} (Hf : isMonic f) : isMonic (#R f).
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.Monics. Require Import UniMath.CategoryTheory.Adjunctions.Core.