Record quot_mixin_of qT := QuotClass {
  quot_repr : qT -> T;
  quot_pi : T -> qT;
  _ : cancel quot_repr quot_pi
}.Record quot_mixin_of qT := QuotClass {
  quot_repr : qT -> T;
  quot_pi : T -> qT;
  _ : cancel quot_repr quot_pi
}.Record quot_mixin_of qT := QuotClass {
  quot_repr : qT -> T;
  quot_pi : T -> qT;
  _ : cancel quot_repr quot_pi
}.Record quot_mixin_of qT := QuotClass {
  quot_repr : qT -> T;
  quot_pi : T -> qT;
  _ : cancel quot_repr quot_pi
}.Notation quot_class_of := quot_mixin_of.Record quotType := QuotTypePack {
  quot_sort :> Type;
  quot_class : quot_class_of quot_sort
}.Record quotType := QuotTypePack {
  quot_sort :> Type;
  quot_class : quot_class_of quot_sort
}.Record quotType := QuotTypePack {
  quot_sort :> Type;
  quot_class : quot_class_of quot_sort
}.Record quotType := QuotTypePack {
  quot_sort :> Type;
  quot_class : quot_class_of quot_sort
}.Definition pi_phant of phant qT := quot_pi (quot_class qT).Local Notation "\mpi" := (@MPi.f _ _ (Phant _)).Definition repr_of := quot_repr (quot_class qT).

Lemma repr_ofK : cancel repr_of \pi.