- FINISHED_IMPLIES_NO_CHANGE
-
|- !finished f x.
?n0.
finished (apply_f_cond_n_times finished f x n0) ==>
(!n.
n0 <= n ==>
(apply_f_cond_n_times finished f x n =
apply_f_cond_n_times finished f x n0))
- FINISHED_IMPLIES_LOWEST
-
|- !finished f x.
?n.
finished (apply_f_cond_n_times finished f x n) ==>
(?!n0. finished (apply_f_cond_n_times finished f x n0))
- FINISHED_UNIQUE
-
|- !finished f x y z.
(finished z /\ (?n. apply_f_cond_n_times finished f x n = z)) /\
finished y /\
(?n. apply_f_cond_n_times finished f x n = y) ==>
(z = y)
- apply_f_until_finished_TERMINATE_CASE
-
|- !finished f y x.
finished y /\ (?n. apply_f_cond_n_times finished f x n = y) ==>
(apply_f_until_finished finished f x = y)