(NATP-OF-POSITION-EQUAL-AC
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 (12 2 (:DEFINITION POSITION-EQUAL-AC))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:DEFINITION FIX))
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(INTEGERP-OF-POSITION-EQUAL-AC
 (556 278 (:TYPE-PRESCRIPTION NATP-POSITION-EQUAL-AC))
 (278 278 (:TYPE-PRESCRIPTION NATP))
 (17 17 (:REWRITE DEFAULT-CAR))
 (8 8 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE DEFAULT-+-2))
 (8 8 (:REWRITE DEFAULT-+-1))
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(RATIONALP-OF-POSITION-EQUAL-AC
 (556 278 (:TYPE-PRESCRIPTION NATP-POSITION-EQUAL-AC))
 (278 278 (:TYPE-PRESCRIPTION NATP))
 (17 17 (:REWRITE DEFAULT-CAR))
 (8 8 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE DEFAULT-+-2))
 (8 8 (:REWRITE DEFAULT-+-1))
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(ACL2-NUMBERP-OF-POSITION-EQUAL-AC
 (64 32 (:TYPE-PRESCRIPTION NATP-POSITION-EQUAL-AC))
 (32 32 (:TYPE-PRESCRIPTION NATP-POSITION-AC))
 (32 32 (:TYPE-PRESCRIPTION NATP))
 (18 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (16 2 (:DEFINITION POSITION-EQUAL-AC))
 (4 2 (:REWRITE DEFAULT-+-2))
 (4 2 (:DEFINITION FIX))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE RATIONALP-OF-POSITION-EQUAL-AC))
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(POSITION-EQUAL-AC-UNDER-IFF
 (154 77 (:TYPE-PRESCRIPTION NATP-POSITION-EQUAL-AC))
 (77 77 (:TYPE-PRESCRIPTION NATP))
 (20 20 (:REWRITE DEFAULT-CAR))
 (11 11 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (11 11 (:REWRITE DEFAULT-CDR))
 (10 5 (:REWRITE DEFAULT-+-2))
 (5 5 (:REWRITE DEFAULT-+-1))
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(POSITION-EQUAL-AC-BOUND
 (476 238 (:TYPE-PRESCRIPTION NATP-POSITION-EQUAL-AC))
 (238 238 (:TYPE-PRESCRIPTION NATP))
 (84 6 (:REWRITE DEFAULT-<-1))
 (40 20 (:REWRITE DEFAULT-+-2))
 (29 3 (:REWRITE ACL2-NUMBERP-OF-POSITION-EQUAL-AC))
 (26 20 (:REWRITE DEFAULT-+-1))
 (26 14 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (12 6 (:REWRITE DEFAULT-<-2))
 (11 11 (:REWRITE DEFAULT-CAR))
 (8 8 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE FOLD-CONSTS-IN-+))
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(POSITION-EQUAL-AC-BOUND-SPECIAL
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 (8 1 (:REWRITE ACL2-NUMBERP-OF-POSITION-EQUAL-AC))
 (5 1 (:DEFINITION LEN))
 (3 3 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 1 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
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(POSITION-EQUAL-AC-WHEN-NOT-MEMBER-EQUAL
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 (17 17 (:TYPE-PRESCRIPTION NATP-POSITION-AC))
 (17 17 (:TYPE-PRESCRIPTION NATP))
 (8 1 (:DEFINITION POSITION-EQUAL-AC))
 (3 1 (:DEFINITION MEMBER-EQUAL))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 1 (:REWRITE DEFAULT-+-2))
 (2 1 (:DEFINITION FIX))
 (1 1 (:REWRITE DEFAULT-+-1))
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(POSITION-EQUAL-AC-OF-CAR-SAME
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 (11 11 (:TYPE-PRESCRIPTION NATP-POSITION-AC))
 (11 11 (:TYPE-PRESCRIPTION NATP))
 (4 1 (:REWRITE POSITION-EQUAL-AC-WHEN-NOT-MEMBER-EQUAL))
 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 1 (:DEFINITION MEMBER-EQUAL))
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(NTH-OF-POSITION-EQUAL-AC-SAME-HELPER
 (178 38 (:REWRITE DEFAULT-+-2))
 (170 85 (:TYPE-PRESCRIPTION NATP-POSITION-EQUAL-AC))
 (85 85 (:TYPE-PRESCRIPTION NATP))
 (80 8 (:REWRITE ACL2-NUMBERP-OF-POSITION-EQUAL-AC))
 (69 19 (:REWRITE POSITION-EQUAL-AC-WHEN-NOT-MEMBER-EQUAL))
 (57 38 (:REWRITE DEFAULT-+-1))
 (49 49 (:REWRITE DEFAULT-CAR))
 (42 6 (:REWRITE POSITION-EQUAL-AC-UNDER-IFF))
 (36 36 (:REWRITE DEFAULT-CDR))
 (27 27 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (22 14 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:REWRITE DEFAULT-<-2))
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(NTH-OF-POSITION-EQUAL-AC-OF-0-SAME
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 (18 4 (:REWRITE DEFAULT-+-1))
 (17 17 (:REWRITE DEFAULT-CAR))
 (13 13 (:REWRITE DEFAULT-CDR))
 (13 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
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