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 scalp0 p : scalp p 0 = 0%N.