End REC_COP1_CTRL.
Section REC_COP1_XY.
Variable c0 : Config.
Variable s1 s2 : Site.
Hypothesis first_mess : first Message (bm c0 s1 s2) = value Message copy.
Remark rcop1_trans_xi :
forall s0 : Site, xi (rec_copy1_trans c0 s1 s2) s0 = xi c0 s0.
Remark rcop1_trans_yi :
forall s0 : Site, yi (rec_copy1_trans c0 s1 s2) s0 = yi c0 s0.

Lemma rcop1_trans_sigma_xi :
sigma_xi (rec_copy1_trans c0 s1 s2) = sigma_xi c0.