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(* 02110-1301 USA                                                     *)

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