End WeakTheoryForIDomainPseudoDivision.
Hint Resolve lc_expn_scalp_neq0 : core.
End WeakIdomain.
Module CommonIdomain.
Section IDomainPseudoDivision.
Variable R : idomainType.
Implicit Type p q r d m n : {poly R}.

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