Definition listempty (lp: adr*adr) : mpred :=
!! (fst lp = snd lp) && emp.
Definition listrep' (R: adr*adr -> mpred) (lp: adr*adr) : mpred :=
listcons' R lp || listempty lp.
Definition listrep : adr*adr -> mpred := HORec listrep'.
Definition lseg (e1 e2: adr) : mpred := listrep (e1,e2).

Lemma lseg_U5:
forall x y z w, z<>w -> lseg x y * next y z * lseg z w |-- lseg x z * lseg z w.