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(* 02110-1301 USA                                                     *)

Theorem subs_par_after_subs_var :
forall (P : proc) (p q : PP) (x : VV),
fresh q P ->
subs_par_proc (subs_var_proc P (pname q) x) (pname p) q =
subs_var_proc P (pname p) x.