Section IDomainPseudoDivision.
Variable R : idomainType.
Implicit Type p q r d m n : {poly R}.
Hint Resolve divp0 divp1 mod0p modp0 modp1 : core.
Hint Resolve dvdp0 : core.

Lemma dvd0p p : (0 %| p) = (p == 0). Proof. by rewrite /dvdp modp0. Qed.