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 eq_dvdp c quo q p : c != 0 -> c *: p = quo * q -> q %| p.