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 modpC p c : c != 0 -> p %% c%:P = 0.