Remark rinc_trans_xi :
 forall s0 : Site, xi (rec_inc_trans c0 s1 s2) s0 = xi c0 s0.Remark rinc_trans_yi :
 forall s0 : Site,
 yi (rec_inc_trans c0 s1 s2) s0 =
 (if eq_site_dec s0 s1 then (yi c0 s0 - 1)%Z else yi c0 s0).

Lemma rinc_trans_D : D_queue (bm c0 s0 owner) -> D_queue (bm (rec_inc_trans c0 s1 s2) s0 owner).