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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pos_num.bit0|pos_num → pos_num
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pos_num.is_inhabited|inhabited pos_num
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pos_num.inc|pos_num → pos_num
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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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2014-09-15 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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2014-10-26 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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2014-09-15 17:25:07 +00:00
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pos_num.num_bits|pos_num → pos_num
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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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2014-09-15 17:25:07 +00:00
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pos_num|Type
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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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pos_num.inc|pos_num → pos_num
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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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2014-09-15 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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2014-10-26 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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2014-10-25 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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2014-09-15 17:25:07 +00:00
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pos_num|Type
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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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pos_num.inc|pos_num → pos_num
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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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2014-09-15 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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2014-10-26 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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2014-10-25 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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2014-09-15 17:25:07 +00:00
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pos_num|Type
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-- ENDFINDP
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