Section IDomainPseudoDivision.
Variable R : idomainType.
Implicit Type p q r d m n : {poly R}.
Hint Resolve divp0 divp1 mod0p modp0 modp1 : core.
Hint Resolve dvdp0 : core.
Hint Resolve dvdpp : core.
Hint Resolve eqpxx : core.

Lemma polyXsubC_eqp1 (x : R) : ('X - x%:P %= 1) = false.