-- BEGINWAIT -- ENDWAIT -- BEGINSET -- ENDSET -- BEGINFINDP pos_num.size|pos_num → pos_num pos_num.bit0|pos_num → pos_num pos_num.is_inhabited|inhabited pos_num pos_num.is_one|pos_num → bool pos_num.inc|pos_num → pos_num pos_num.ibelow|pos_num → Prop pos_num.binduction_on|Π (n : pos_num), (Π (n : pos_num), pos_num.ibelow n → ?C n) → ?C n 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 pos_num.succ|pos_num → pos_num pos_num.bit1|pos_num → pos_num 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) pos_num.one|pos_num pos_num.below|pos_num → Type pos_num.le|pos_num → pos_num → bool 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 pos_num.pred|pos_num → pos_num pos_num.mul|pos_num → pos_num → pos_num pos_num.no_confusion_type|Type → pos_num → pos_num → Type pos_num.num_bits|pos_num → pos_num pos_num.no_confusion|eq ?v1 ?v2 → pos_num.no_confusion_type ?P ?v1 ?v2 pos_num.lt|pos_num → pos_num → bool 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 pos_num.brec_on|Π (n : pos_num), (Π (n : pos_num), pos_num.below n → ?C n) → ?C n pos_num.add|pos_num → pos_num → pos_num pos_num_has_mul|has_mul pos_num pos_num|Type pos_num_has_one|has_one pos_num pos_num_has_add|has_add pos_num -- ENDFINDP -- BEGINWAIT -- ENDWAIT -- BEGINWAIT -- ENDWAIT -- BEGINFINDP pos_num.size|pos_num → pos_num pos_num.bit0|pos_num → pos_num pos_num.is_inhabited|inhabited pos_num pos_num.is_one|pos_num → bool pos_num.inc|pos_num → pos_num pos_num.ibelow|pos_num → Prop pos_num.binduction_on|Π (n : pos_num), (Π (n : pos_num), pos_num.ibelow n → ?C n) → ?C n 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 pos_num.succ|pos_num → pos_num pos_num.bit1|pos_num → pos_num 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) pos_num.one|pos_num pos_num.below|pos_num → Type pos_num.le|pos_num → pos_num → bool 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 pos_num.pred|pos_num → pos_num pos_num.mul|pos_num → pos_num → pos_num pos_num.no_confusion_type|Type → pos_num → pos_num → Type pos_num.no_confusion|eq ?v1 ?v2 → pos_num.no_confusion_type ?P ?v1 ?v2 pos_num.lt|pos_num → pos_num → bool 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 pos_num.brec_on|Π (n : pos_num), (Π (n : pos_num), pos_num.below n → ?C n) → ?C n pos_num.add|pos_num → pos_num → pos_num pos_num_has_mul|has_mul pos_num pos_num|Type pos_num_has_one|has_one pos_num pos_num_has_add|has_add pos_num -- ENDFINDP -- BEGINFINDP pos_num.size|pos_num → pos_num pos_num.bit0|pos_num → pos_num pos_num.is_inhabited|inhabited pos_num pos_num.is_one|pos_num → bool pos_num.inc|pos_num → pos_num pos_num.ibelow|pos_num → Prop pos_num.binduction_on|Π (n : pos_num), (Π (n : pos_num), pos_num.ibelow n → ?C n) → ?C n 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 pos_num.succ|pos_num → pos_num pos_num.bit1|pos_num → pos_num 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) pos_num.one|pos_num pos_num.below|pos_num → Type pos_num.le|pos_num → pos_num → bool 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 pos_num.pred|pos_num → pos_num pos_num.mul|pos_num → pos_num → pos_num pos_num.no_confusion_type|Type → pos_num → pos_num → Type pos_num.no_confusion|eq ?v1 ?v2 → pos_num.no_confusion_type ?P ?v1 ?v2 pos_num.lt|pos_num → pos_num → bool 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 pos_num.brec_on|Π (n : pos_num), (Π (n : pos_num), pos_num.below n → ?C n) → ?C n pos_num.add|pos_num → pos_num → pos_num pos_num_has_mul|has_mul pos_num pos_num|Type pos_num_has_one|has_one pos_num pos_num_has_add|has_add pos_num -- ENDFINDP