Canonical subvs_fieldType K :=
Eval hnf in FieldType (subvs_of K) (@subvs_fieldMixin K).
Canonical subvs_fieldExtType K := Eval hnf in [fieldExtType F0 of subvs_of K].

Lemma modp_polyOver K : {in polyOver K &, forall p q, p %% q \is a polyOver K}.