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

Lemma ltn_divpl d q p : d != 0 ->
(size (q %/ d) < size p) = (size q < size (p * d)).