proposition: Lemma issymmpadicapart0 : issymm padicapart0.
proof: Proof. intros a b f. use (hinhuniv _ f). intros u. destruct u as [ n u ]. apply total2tohexists. split with n. intros g. unfold neq in u. apply u. rewrite g. apply idpath. Defined.
imports: UniMath.PAdics.lemmas UniMath.PAdics.fps UniMath.PAdics.frac UniMath.PAdics.z_mod_p UniMath.NumberSystems.Integers