2014-09-15 17:25:07 +00:00
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-- BEGINWAIT
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-- ENDWAIT
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-- BEGINSET
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-- ENDSET
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-- BEGINFINDP
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2014-12-01 05:16:01 +00:00
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pos_num.size|pos_num → pos_num
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2014-09-15 17:25:07 +00:00
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pos_num.bit0|pos_num → pos_num
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pos_num.is_inhabited|inhabited pos_num
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2014-12-01 05:16:01 +00:00
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pos_num.is_one|pos_num → bool
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2015-03-13 21:47:21 +00:00
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pos_num.inc|pos_num → pos_num
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2014-12-01 05:16:01 +00:00
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pos_num.ibelow|pos_num → Prop
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2014-12-03 18:39:22 +00:00
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pos_num.binduction_on|Π (n : pos_num), (Π (n : pos_num), pos_num.ibelow n → ?C n) → ?C n
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2014-10-25 20:36:38 +00:00
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pos_num.induction_on|Π (n : pos_num), ?C pos_num.one → (Π (a : pos_num), ?C a → ?C (pos_num.bit1 a)) → (Π (a : pos_num), ?C a → ?C (pos_num.bit0 a)) → ?C n
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2014-12-01 05:16:01 +00:00
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pos_num.succ|pos_num → pos_num
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2014-09-15 17:25:07 +00:00
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pos_num.bit1|pos_num → pos_num
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pos_num.rec|?C pos_num.one → (Π (a : pos_num), ?C a → ?C (pos_num.bit1 a)) → (Π (a : pos_num), ?C a → ?C (pos_num.bit0 a)) → (Π (n : pos_num), ?C n)
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pos_num.one|pos_num
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2014-12-01 05:16:01 +00:00
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pos_num.below|pos_num → Type
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2015-03-04 00:17:59 +00:00
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pos_num.le|pos_num → pos_num → bool
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2014-10-26 00:22:02 +00:00
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pos_num.cases_on|Π (n : pos_num), ?C pos_num.one → (Π (a : pos_num), ?C (pos_num.bit1 a)) → (Π (a : pos_num), ?C (pos_num.bit0 a)) → ?C n
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2014-12-01 05:16:01 +00:00
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pos_num.pred|pos_num → pos_num
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pos_num.mul|pos_num → pos_num → pos_num
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pos_num.no_confusion_type|Type → pos_num → pos_num → Type
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2015-03-13 21:47:21 +00:00
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pos_num.num_bits|pos_num → pos_num
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2014-12-01 05:16:01 +00:00
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pos_num.no_confusion|eq ?v1 ?v2 → pos_num.no_confusion_type ?P ?v1 ?v2
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2015-03-04 00:17:59 +00:00
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pos_num.lt|pos_num → pos_num → bool
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2014-10-25 18:32:26 +00:00
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pos_num.rec_on|Π (n : pos_num), ?C pos_num.one → (Π (a : pos_num), ?C a → ?C (pos_num.bit1 a)) → (Π (a : pos_num), ?C a → ?C (pos_num.bit0 a)) → ?C n
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2014-12-03 18:39:22 +00:00
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pos_num.brec_on|Π (n : pos_num), (Π (n : pos_num), pos_num.below n → ?C n) → ?C n
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2014-12-01 05:16:01 +00:00
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pos_num.add|pos_num → pos_num → pos_num
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2015-10-14 01:35:16 +00:00
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pos_num_has_mul|has_mul pos_num
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2014-09-15 17:25:07 +00:00
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pos_num|Type
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2015-10-14 01:35:16 +00:00
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pos_num_has_one|has_one pos_num
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pos_num_has_add|has_add pos_num
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2014-09-15 17:25:07 +00:00
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-- ENDFINDP
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-- BEGINWAIT
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-- ENDWAIT
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-- BEGINWAIT
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-- ENDWAIT
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-- BEGINFINDP
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pos_num.size|pos_num → pos_num
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pos_num.bit0|pos_num → pos_num
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pos_num.is_inhabited|inhabited pos_num
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2014-12-01 05:16:01 +00:00
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pos_num.is_one|pos_num → bool
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2015-03-13 21:47:21 +00:00
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pos_num.inc|pos_num → pos_num
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2014-12-01 05:16:01 +00:00
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pos_num.ibelow|pos_num → Prop
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2014-12-03 18:39:22 +00:00
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pos_num.binduction_on|Π (n : pos_num), (Π (n : pos_num), pos_num.ibelow n → ?C n) → ?C n
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2014-10-25 20:36:38 +00:00
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pos_num.induction_on|Π (n : pos_num), ?C pos_num.one → (Π (a : pos_num), ?C a → ?C (pos_num.bit1 a)) → (Π (a : pos_num), ?C a → ?C (pos_num.bit0 a)) → ?C n
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2014-12-01 05:16:01 +00:00
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pos_num.succ|pos_num → pos_num
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2014-09-15 17:25:07 +00:00
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pos_num.bit1|pos_num → pos_num
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pos_num.rec|?C pos_num.one → (Π (a : pos_num), ?C a → ?C (pos_num.bit1 a)) → (Π (a : pos_num), ?C a → ?C (pos_num.bit0 a)) → (Π (n : pos_num), ?C n)
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pos_num.one|pos_num
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2014-12-01 05:16:01 +00:00
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pos_num.below|pos_num → Type
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2015-03-04 00:17:59 +00:00
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pos_num.le|pos_num → pos_num → bool
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2014-10-26 00:22:02 +00:00
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pos_num.cases_on|Π (n : pos_num), ?C pos_num.one → (Π (a : pos_num), ?C (pos_num.bit1 a)) → (Π (a : pos_num), ?C (pos_num.bit0 a)) → ?C n
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2014-12-01 05:16:01 +00:00
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pos_num.pred|pos_num → pos_num
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pos_num.mul|pos_num → pos_num → pos_num
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pos_num.no_confusion_type|Type → pos_num → pos_num → Type
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pos_num.no_confusion|eq ?v1 ?v2 → pos_num.no_confusion_type ?P ?v1 ?v2
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2015-03-04 00:17:59 +00:00
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pos_num.lt|pos_num → pos_num → bool
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2014-10-25 18:32:26 +00:00
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pos_num.rec_on|Π (n : pos_num), ?C pos_num.one → (Π (a : pos_num), ?C a → ?C (pos_num.bit1 a)) → (Π (a : pos_num), ?C a → ?C (pos_num.bit0 a)) → ?C n
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2014-12-03 18:39:22 +00:00
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pos_num.brec_on|Π (n : pos_num), (Π (n : pos_num), pos_num.below n → ?C n) → ?C n
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2014-12-01 05:16:01 +00:00
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pos_num.add|pos_num → pos_num → pos_num
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2015-10-14 01:35:16 +00:00
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pos_num_has_mul|has_mul pos_num
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2014-09-15 17:25:07 +00:00
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pos_num|Type
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2015-10-14 01:35:16 +00:00
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pos_num_has_one|has_one pos_num
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pos_num_has_add|has_add pos_num
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2014-09-15 17:25:07 +00:00
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-- ENDFINDP
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-- BEGINFINDP
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pos_num.size|pos_num → pos_num
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pos_num.bit0|pos_num → pos_num
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pos_num.is_inhabited|inhabited pos_num
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2014-12-01 05:16:01 +00:00
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pos_num.is_one|pos_num → bool
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2015-03-13 21:47:21 +00:00
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pos_num.inc|pos_num → pos_num
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2014-12-01 05:16:01 +00:00
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pos_num.ibelow|pos_num → Prop
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2014-12-03 18:39:22 +00:00
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pos_num.binduction_on|Π (n : pos_num), (Π (n : pos_num), pos_num.ibelow n → ?C n) → ?C n
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2014-10-25 20:36:38 +00:00
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pos_num.induction_on|Π (n : pos_num), ?C pos_num.one → (Π (a : pos_num), ?C a → ?C (pos_num.bit1 a)) → (Π (a : pos_num), ?C a → ?C (pos_num.bit0 a)) → ?C n
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2014-12-01 05:16:01 +00:00
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pos_num.succ|pos_num → pos_num
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2014-09-15 17:25:07 +00:00
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pos_num.bit1|pos_num → pos_num
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pos_num.rec|?C pos_num.one → (Π (a : pos_num), ?C a → ?C (pos_num.bit1 a)) → (Π (a : pos_num), ?C a → ?C (pos_num.bit0 a)) → (Π (n : pos_num), ?C n)
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pos_num.one|pos_num
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2014-12-01 05:16:01 +00:00
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pos_num.below|pos_num → Type
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2015-03-04 00:17:59 +00:00
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pos_num.le|pos_num → pos_num → bool
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2014-10-26 00:22:02 +00:00
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pos_num.cases_on|Π (n : pos_num), ?C pos_num.one → (Π (a : pos_num), ?C (pos_num.bit1 a)) → (Π (a : pos_num), ?C (pos_num.bit0 a)) → ?C n
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2014-12-01 05:16:01 +00:00
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pos_num.pred|pos_num → pos_num
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pos_num.mul|pos_num → pos_num → pos_num
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pos_num.no_confusion_type|Type → pos_num → pos_num → Type
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pos_num.no_confusion|eq ?v1 ?v2 → pos_num.no_confusion_type ?P ?v1 ?v2
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2015-03-04 00:17:59 +00:00
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pos_num.lt|pos_num → pos_num → bool
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2014-10-25 18:32:26 +00:00
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pos_num.rec_on|Π (n : pos_num), ?C pos_num.one → (Π (a : pos_num), ?C a → ?C (pos_num.bit1 a)) → (Π (a : pos_num), ?C a → ?C (pos_num.bit0 a)) → ?C n
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2014-12-03 18:39:22 +00:00
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pos_num.brec_on|Π (n : pos_num), (Π (n : pos_num), pos_num.below n → ?C n) → ?C n
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2014-12-01 05:16:01 +00:00
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pos_num.add|pos_num → pos_num → pos_num
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2015-10-14 01:35:16 +00:00
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pos_num_has_mul|has_mul pos_num
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2014-09-15 17:25:07 +00:00
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pos_num|Type
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2015-10-14 01:35:16 +00:00
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pos_num_has_one|has_one pos_num
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pos_num_has_add|has_add pos_num
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2014-09-15 17:25:07 +00:00
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-- ENDFINDP
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