--- /dev/null
+(**************************************************************************)
+(* ___ *)
+(* ||M|| *)
+(* ||A|| A project by Andrea Asperti *)
+(* ||T|| *)
+(* ||I|| Developers: *)
+(* ||T|| The HELM team. *)
+(* ||A|| http://helm.cs.unibo.it *)
+(* \ / *)
+(* \ / This file is distributed under the terms of the *)
+(* v GNU General Public License Version 2 *)
+(* *)
+(**************************************************************************)
+
+include "basic_2/rt_transition/cpm_fpb.ma".
+include "basic_2/rt_transition/cpm_fpbc.ma".
+include "basic_2/rt_computation/fpbg_fqup.ma".
+
+(* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
+
+(* Properties with t-bound rt-transition for terms **************************)
+
+lemma cpm_tneqx_cpm_fpbg (h) (G) (L):
+ ∀n1,T1,T. ❪G,L❫ ⊢ T1 ➡[h,n1] T → (T1 ≅ T → ⊥) →
+ ∀n2,T2. ❪G,L❫ ⊢ T ➡[h,n2] T2 → ❪G,L,T1❫ > ❪G,L,T2❫.
+/4 width=5 by fpbc_fpbs_fpbg, fpb_fpbs, cpm_fwd_fpbc, cpm_fwd_fpb/
+qed.