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.
Hint Resolve dvdpp : core.

Lemma dvdp_mulIr p q : q %| p * q. Proof. exact/dvdp_mull/dvdpp. Qed.