proposition: Lemma hzremaindermoditerated ( m : hz ) ( is : hzneq 0 m ) ( n : hz ) : hzremaindermod m is ( hzremaindermod m is n ) = ( hzremaindermod m is n ).
proof: Proof. intros. apply pathsinv0. apply ( hzqrtestr m is ( hzremaindermod m is n ) 0 ( hzremaindermod m is n ) ). split. - apply hzqrandremaindereq. - apply hzqrandremainderineq. Defined.
imports: UniMath.PAdics.lemmas UniMath.NumberSystems.Integers UniMath.Foundations.Preamble