Prenex Implicits cfIsom.
Section InvMorphism.
Variables (aT rT : finGroupType) (G : {group aT}) (f : {morphism G >-> rT}).
Variable R : {group rT}.
Hypothesis isoGR : isom G R f.

(* Specifications: *)
Lemma cfIsomK : cancel (cfIsom isoGR) (cfIsom (isom_sym isoGR)).
Lemma cfIsomKV : cancel (cfIsom (isom_sym isoGR)) (cfIsom isoGR).
Lemma cfIsom_inj : injective (cfIsom isoGR). Proof. exact: can_inj cfIsomK. Qed.
Lemma cfIsom_eq1 phi : (cfIsom isoGR phi == 1) = (phi == 1).
Definition cfQuo phi := Cfun 1 (cfQuo_subproof phi).