G $-> QuotientGroup. Proof. snrapply Build_GroupHomomorphism. 1: exact (class_of _). intros ??; reflexivity. Defined.
Require Import Basics Types. Require Import Truncations.Core. Require Import Algebra.Congruence. Require Import Algebra.Groups.Group. Require Import Algebra.Groups.Subgroup. Require Import HSet. Require Import Spaces.Finite.Finite. Require Import WildCat. Require Import Modalities.Modality.