Module PartialTree_WandQFrame_Func_Hole.
Definition partialT (rep: tree val -> val -> mpred) (P: tree val -> tree val) (p_root p_in: val): mpred :=
ALL t: tree val, rep t p_in -* rep (P t) p_root.

Lemma rep_partialT_rep_proof_by_tactic: forall rep t P p q,
rep t p * partialT rep P q p |-- rep (P t) q.