Definition sieve_selected_morphism_compose {d : C} (g : C⟦d, sieve_selected_morphism_domain⟧) : sieve_selected_morphism S := d ,, # (sieve_functor S) g (pr2 f).
Require Import UniMath.Foundations.All. Require Import UniMath.CategoryTheory.Categories.HSET.Core. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.Presheaf. Require Import UniMath.CategoryTheory.Subobjects. Require Import UniMath.CategoryTheory.yoneda. Require Import UniMath.CategoryTheory.Monics.