Definition C_AbsRing_mixin :=
AbsRing.Mixin _ _ Cmod_0 Cmod_m1 Cmod_triangle (fun x y => Req_le _ _ (Cmod_mult x y)) Cmod_eq_0.
Canonical C_AbsRing :=
AbsRing.Pack C (AbsRing.Class _ _ C_AbsRing_mixin) C.

Lemma Cmod_inv :
forall x : C, x <> 0 -> Cmod (/ x) = Rinv (Cmod x).