Section AlgIntSubring.
Canonical Aint_opprPred := OpprPred Aint_subring.
Canonical Aint_addrPred := AddrPred Aint_subring.
Canonical Aint_mulrPred := MulrPred Aint_subring.
Canonical Aint_zmodPred := ZmodPred Aint_subring.
Canonical Aint_semiringPred := SemiringPred Aint_subring.
Canonical Aint_smulrPred := SmulrPred Aint_subring.
Canonical Aint_subringPred := SubringPred Aint_subring.
End AlgIntSubring.

Lemma Aint_aut (nu : {rmorphism algC -> algC}) x :
(nu x \in Aint) = (x \in Aint).