(**************************************************************************)
include "basic_2/reduction/cnx_lift.ma".
-include "basic_2/computation/acp.ma".
+include "basic_2/computation/gcp.ma".
include "basic_2/computation/csx.ma".
(* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERMS ********************)
(* Main properties **********************************************************)
-theorem csx_acp: ∀h,g. acp (cpx h g) (eq …) (csx h g).
-#h #g @mk_acp
+theorem csx_gcp: ∀h,g. gcp (cpx h g) (eq …) (csx h g).
+#h #g @mk_gcp
[ /3 width=13 by cnx_lift/
| #G #L elim (deg_total h g 0) /3 width=8 by cnx_sort_iter, ex_intro/
| /2 width=3 by csx_fwd_flat_dx/