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(* 02110-1301 USA                                                     *)
Unset Standard Proposition Elimination Names.

Theorem swap_under_subs_name :
forall (n : name) (p q : PP) (m : name) (x : VV),
swap_name (subs_var_name n m x) p q =
subs_var_name (swap_name n p q) (swap_name m p q) x.