#X #H #H0
elim (cpxs_fwd_sort_vector … H) -H #H
[ elim H0 -H0 //
-| -H0 @(csx_cpxs_trans … (Ⓐ(V@Vs).⋆(next h k))) /2 width=1 by cpxs_flat_dx/
+| -H0 @(csx_cpxs_trans … (Ⓐ(V⨮Vs).⋆(next h k))) /2 width=1 by cpxs_flat_dx/
]
qed.
lapply (csx_fwd_pair_sn … H) #HW1
lapply (csx_fwd_flat_dx … H) #H1
@csx_appl_simple_tsts /2 width=3 by simple_flat/ -IHV12s -HW1 -H1 #X #H1 #H2
-elim (cpxs_fwd_theta_vector … (V2@V2s) … H1) -H1 /2 width=1 by liftv_cons/ -HV12s -HV12
+elim (cpxs_fwd_theta_vector … (V2⨮V2s) … H1) -H1 /2 width=1 by liftv_cons/ -HV12s -HV12
[ -H #H elim H2 -H2 //
| -H2 /3 width=5 by csx_cpxs_trans, cpxs_flat_dx/
]