proposition: Lemma hzmodisringeqrel ( p : hz ) ( x : hzneq 0 p ) : ringeqrel ( X := hz ).
proof: Proof. intros. split with ( tpair ( hzmod p x ) ( hzmodiseqrel p x ) ). split. - split. + apply hzmodcompatplusl. + apply hzmodcompatplusr. - split. + apply hzmodcompatmultl. + apply hzmodcompatmultr. Defined.
imports: UniMath.PAdics.lemmas UniMath.NumberSystems.Integers UniMath.Foundations.Preamble