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