(FUNCTIONAL-SELF-INVERSION-OF-MINUS
 (3 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(MINUS-CANCELLATION-ON-RIGHT
 (8 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (7 4 (:REWRITE DEFAULT-+-1))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:REWRITE FOLD-CONSTS-IN-+))
 )
(MINUS-CANCELLATION-ON-LEFT
 (7 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (5 3 (:REWRITE DEFAULT-+-1))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:REWRITE FOLD-CONSTS-IN-+))
 )
(RIGHT-CANCELLATION-FOR-+
 (23 23 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (16 10 (:REWRITE DEFAULT-+-2))
 )
(LEFT-CANCELLATION-FOR-+
 (24 24 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (13 8 (:REWRITE DEFAULT-+-1))
 )
(EQUAL-MINUS-0
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(INVERSE-OF-+-AS=0
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE DEFAULT-+-2))
 )
(EQUAL-MINUS-MINUS
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(COMMUTATIVITY-2-OF-*
 (5 3 (:REWRITE DEFAULT-*-2))
 (5 3 (:REWRITE DEFAULT-*-1))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(FUNCTIONAL-SELF-INVERSION-OF-/
 (7 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:REWRITE DEFAULT-*-2))
 (4 4 (:REWRITE DEFAULT-*-1))
 )
(DISTRIBUTIVITY-OF-/-OVER-*
 (9 3 (:REWRITE DEFAULT-UNARY-/))
 (8 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 2 (:REWRITE DEFAULT-*-2))
 (3 2 (:REWRITE DEFAULT-*-1))
 )
(/-CANCELLATION-ON-RIGHT
 (10 9 (:REWRITE DEFAULT-*-2))
 (5 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE DEFAULT-UNARY-/))
 )
(/-CANCELLATION-ON-LEFT
 (6 5 (:REWRITE DEFAULT-*-2))
 (6 5 (:REWRITE DEFAULT-*-1))
 (5 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE DEFAULT-UNARY-/))
 )
(RIGHT-CANCELLATION-FOR-*-LEMMA
 (6 6 (:REWRITE DEFAULT-*-2))
 (6 6 (:REWRITE DEFAULT-*-1))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(RIGHT-CANCELLATION-FOR-*
 (10 10 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 4 (:REWRITE DEFAULT-*-1))
 (5 4 (:REWRITE DEFAULT-*-2))
 )
(LEFT-CANCELLATION-FOR-*
 (14 14 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (7 4 (:REWRITE DEFAULT-*-2))
 (7 4 (:REWRITE DEFAULT-*-1))
 (4 4 (:REWRITE RIGHT-CANCELLATION-FOR-*-LEMMA))
 )
(ZERO-IS-ONLY-ZERO-DIVISOR
 (5 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE RIGHT-CANCELLATION-FOR-*-LEMMA))
 (2 1 (:REWRITE DEFAULT-*-2))
 (2 1 (:REWRITE DEFAULT-*-1))
 )
(EQUAL-*-X-Y-X
 (8 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 2 (:REWRITE DEFAULT-*-2))
 (4 2 (:REWRITE DEFAULT-*-1))
 (3 3 (:REWRITE RIGHT-CANCELLATION-FOR-*-LEMMA))
 )
(EQUAL-*-X-Y-Y
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE RIGHT-CANCELLATION-FOR-*-LEMMA))
 (2 1 (:REWRITE DEFAULT-*-2))
 (2 1 (:REWRITE DEFAULT-*-1))
 )
(EQUAL-/-LEMMA
 (3 3 (:REWRITE RIGHT-CANCELLATION-FOR-*-LEMMA))
 (2 1 (:REWRITE DEFAULT-UNARY-/))
 )
(EQUAL-/
 (8 8 (:REWRITE RIGHT-CANCELLATION-FOR-*-LEMMA))
 (6 5 (:REWRITE DEFAULT-*-2))
 (5 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (5 5 (:REWRITE DEFAULT-UNARY-/))
 (5 5 (:REWRITE DEFAULT-*-1))
 )
(NUMERATOR-NONZERO-FORWARD)
(UNIQUENESS-OF-*-INVERSES-LEMMA
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 2 (:REWRITE DEFAULT-*-2))
 (3 3 (:REWRITE RIGHT-CANCELLATION-FOR-*-LEMMA))
 (3 2 (:REWRITE DEFAULT-*-1))
 (1 1 (:REWRITE DEFAULT-UNARY-/))
 )
(UNIQUENESS-OF-*-INVERSES
 (6 6 (:REWRITE RIGHT-CANCELLATION-FOR-*-LEMMA))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 2 (:REWRITE DEFAULT-UNARY-/))
 (2 1 (:REWRITE DEFAULT-*-2))
 (2 1 (:REWRITE DEFAULT-*-1))
 )
(EQUAL-/-/-LEMMA
 (11 11 (:REWRITE DEFAULT-UNARY-/))
 (6 6 (:REWRITE RIGHT-CANCELLATION-FOR-*-LEMMA))
 (3 3 (:REWRITE DEFAULT-*-2))
 (3 3 (:REWRITE DEFAULT-*-1))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(EQUAL-/-/
 (28 28 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (22 22 (:REWRITE RIGHT-CANCELLATION-FOR-*-LEMMA))
 )
(EQUAL-*-/-1
 (9 9 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (7 7 (:REWRITE RIGHT-CANCELLATION-FOR-*-LEMMA))
 (5 5 (:REWRITE DEFAULT-*-1))
 (4 4 (:REWRITE DEFAULT-UNARY-/))
 )
(EQUAL-*-/-2
 (7 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 5 (:REWRITE DEFAULT-*-2))
 (6 5 (:REWRITE DEFAULT-*-1))
 (3 3 (:REWRITE RIGHT-CANCELLATION-FOR-*-LEMMA))
 (1 1 (:REWRITE DEFAULT-UNARY-/))
 )
(FOLD-CONSTS-IN-*)
(TIMES-ZERO)
(FUNCTIONAL-COMMUTATIVITY-OF-MINUS-*-RIGHT-LEMMA
 (8 8 (:REWRITE DEFAULT-*-2))
 (8 8 (:REWRITE DEFAULT-*-1))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE DEFAULT-+-2))
 (3 3 (:REWRITE DEFAULT-+-1))
 )
(FUNCTIONAL-COMMUTATIVITY-OF-MINUS-*-RIGHT
 (5 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 2 (:REWRITE DEFAULT-*-2))
 (3 2 (:REWRITE DEFAULT-*-1))
 )
(FUNCTIONAL-COMMUTATIVITY-OF-MINUS-*-LEFT
 (6 4 (:REWRITE DEFAULT-*-2))
 (6 4 (:REWRITE DEFAULT-*-1))
 (5 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 3 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(RECIPROCAL-MINUS
 (2 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE DEFAULT-UNARY-/))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE DEFAULT-*-2))
 (1 1 (:REWRITE DEFAULT-*-1))
 )
(NUMERATOR-INTEGERP-LEMMA-1
 (4 4 (:REWRITE DEFAULT-*-2))
 (4 4 (:REWRITE DEFAULT-*-1))
 (2 2 (:REWRITE DEFAULT-NUMERATOR))
 (2 2 (:REWRITE DEFAULT-DENOMINATOR))
 (1 1 (:REWRITE DEFAULT-UNARY-/))
 )
(NUMERATOR-INTEGERP-LEMMA
 (8 8 (:REWRITE DEFAULT-*-2))
 (8 8 (:REWRITE DEFAULT-*-1))
 (3 3 (:REWRITE DEFAULT-NUMERATOR))
 (3 3 (:REWRITE DEFAULT-DENOMINATOR))
 (2 2 (:REWRITE DEFAULT-UNARY-/))
 )
(NUMERATOR-WHEN-INTEGERP
 (15 15 (:REWRITE DEFAULT-*-2))
 (15 15 (:REWRITE DEFAULT-*-1))
 (12 12 (:REWRITE DEFAULT-DENOMINATOR))
 (9 9 (:REWRITE DEFAULT-NUMERATOR))
 (2 2 (:REWRITE DEFAULT-UNARY-/))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(INTEGERP==>DENOMINATOR=1)
(EQUAL-DENOMINATOR-1
 (5 5 (:REWRITE DEFAULT-*-2))
 (5 5 (:REWRITE DEFAULT-*-1))
 (4 4 (:REWRITE INTEGERP==>DENOMINATOR=1))
 (4 4 (:REWRITE DEFAULT-DENOMINATOR))
 (2 2 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (2 2 (:REWRITE DEFAULT-NUMERATOR))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE DEFAULT-UNARY-/))
 )
(*-R-DENOMINATOR-R
 (7 6 (:REWRITE DEFAULT-*-2))
 (7 6 (:REWRITE DEFAULT-*-1))
 (5 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE INTEGERP==>DENOMINATOR=1))
 (2 2 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (2 2 (:REWRITE DEFAULT-NUMERATOR))
 (1 1 (:REWRITE DEFAULT-UNARY-/))
 )
(/R-WHEN-ABS-NUMERATOR=1
 (8 8 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (8 8 (:REWRITE DEFAULT-NUMERATOR))
 (5 5 (:REWRITE INTEGERP==>DENOMINATOR=1))
 (5 5 (:REWRITE DEFAULT-UNARY-/))
 (5 5 (:REWRITE DEFAULT-DENOMINATOR))
 (3 3 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:REWRITE DEFAULT-*-2))
 (2 2 (:REWRITE DEFAULT-*-1))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(EXPT-TYPE-PRESCRIPTION-RATIONALP
 (1 1 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NON-ZERO-BASE))
 )
(EXPT-TYPE-PRESCRIPTION-POSITIVE
 (69 69 (:TYPE-PRESCRIPTION RATIONALP-EXPT-TYPE-PRESCRIPTION))
 (25 17 (:REWRITE DEFAULT-<-2))
 (17 17 (:REWRITE DEFAULT-<-1))
 (14 6 (:REWRITE DEFAULT-*-2))
 (12 6 (:REWRITE /R-WHEN-ABS-NUMERATOR=1))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 (8 8 (:REWRITE DEFAULT-+-2))
 (8 8 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE ZIP-OPEN))
 (6 6 (:REWRITE DEFAULT-*-1))
 (3 3 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (3 3 (:REWRITE DEFAULT-UNARY-/))
 (3 3 (:REWRITE DEFAULT-NUMERATOR))
 )
(EXPT-TYPE-PRESCRIPTION-NONZERO
 (1 1 (:TYPE-PRESCRIPTION RATIONALP-EXPT-TYPE-PRESCRIPTION))
 (1 1 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-RATIONALP))
 (1 1 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE))
 )
(EXPT-TYPE-PRESCRIPTION-INTEGERP
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 (112 112 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NON-ZERO-BASE))
 (21 21 (:TYPE-PRESCRIPTION RATIONALP-EXPT-TYPE-PRESCRIPTION))
 (12 9 (:REWRITE DEFAULT-<-1))
 (9 9 (:REWRITE DEFAULT-<-2))
 (9 3 (:REWRITE DEFAULT-*-2))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (5 5 (:REWRITE ZIP-OPEN))
 (4 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE DEFAULT-+-1))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE DEFAULT-*-1))
 )
(RIGHT-UNICITY-OF-1-FOR-EXPT
 (16 16 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-RATIONALP))
 (16 16 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE))
 (16 16 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONZERO))
 (16 16 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-INTEGERP))
 (9 3 (:REWRITE DEFAULT-*-2))
 (7 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (5 3 (:REWRITE DEFAULT-*-1))
 )
(EXPT-MINUS
 (880 52 (:REWRITE /R-WHEN-ABS-NUMERATOR=1))
 (816 816 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE))
 (250 50 (:REWRITE DEFAULT-*-2))
 (176 52 (:REWRITE DEFAULT-NUMERATOR))
 (172 52 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (155 23 (:REWRITE DEFAULT-UNARY-/))
 (104 50 (:REWRITE DEFAULT-*-1))
 (70 70 (:REWRITE DEFAULT-+-2))
 (70 70 (:REWRITE DEFAULT-+-1))
 (40 20 (:REWRITE ZIP-OPEN))
 (30 10 (:REWRITE FOLD-CONSTS-IN-+))
 (26 26 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (24 24 (:REWRITE DEFAULT-<-2))
 (24 24 (:REWRITE DEFAULT-<-1))
 (18 15 (:REWRITE DEFAULT-UNARY-MINUS))
 (12 6 (:REWRITE INVERSE-OF-+-AS=0))
 (6 3 (:REWRITE RIGHT-UNICITY-OF-1-FOR-EXPT))
 (6 2 (:REWRITE EQUAL-MINUS-0))
 (3 3 (:REWRITE FOLD-CONSTS-IN-*))
 (3 2 (:REWRITE RATIONALP-*))
 (2 2 (:REWRITE RATIONALP-UNARY-/))
 )
(EXPONENTS-ADD-FOR-NONNEG-EXPONENTS
 (974 974 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE))
 (279 44 (:REWRITE DEFAULT-*-2))
 (97 44 (:REWRITE DEFAULT-*-1))
 (75 75 (:REWRITE DEFAULT-+-2))
 (75 75 (:REWRITE DEFAULT-+-1))
 (40 40 (:REWRITE DEFAULT-<-2))
 (40 40 (:REWRITE DEFAULT-<-1))
 (38 20 (:REWRITE FOLD-CONSTS-IN-+))
 (23 23 (:REWRITE ZIP-OPEN))
 (19 19 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (8 8 (:REWRITE FOLD-CONSTS-IN-*))
 )
(EXPONENTS-ADD-NEGATIVE-NEGATIVE
 (884 884 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE))
 (245 40 (:REWRITE DEFAULT-*-2))
 (154 54 (:REWRITE /R-WHEN-ABS-NUMERATOR=1))
 (75 40 (:REWRITE DEFAULT-*-1))
 (71 71 (:REWRITE DEFAULT-+-2))
 (71 71 (:REWRITE DEFAULT-+-1))
 (50 50 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (50 50 (:REWRITE DEFAULT-NUMERATOR))
 (45 27 (:REWRITE DEFAULT-UNARY-/))
 (37 37 (:REWRITE DEFAULT-<-2))
 (37 37 (:REWRITE DEFAULT-<-1))
 (37 21 (:REWRITE FOLD-CONSTS-IN-+))
 (22 22 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (15 15 (:REWRITE EXPONENTS-ADD-FOR-NONNEG-EXPONENTS))
 (8 8 (:REWRITE ZIP-OPEN))
 (7 7 (:REWRITE FOLD-CONSTS-IN-*))
 )
(EXPONENTS-ADD-POSITIVE-NEGATIVE
 (1417 1417 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-RATIONALP))
 (1417 1417 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE))
 (623 103 (:REWRITE DEFAULT-*-2))
 (250 102 (:REWRITE /R-WHEN-ABS-NUMERATOR=1))
 (196 196 (:REWRITE DEFAULT-+-2))
 (196 196 (:REWRITE DEFAULT-+-1))
 (178 103 (:REWRITE DEFAULT-*-1))
 (83 83 (:REWRITE DEFAULT-<-2))
 (83 83 (:REWRITE DEFAULT-<-1))
 (74 74 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (74 74 (:REWRITE DEFAULT-NUMERATOR))
 (51 51 (:REWRITE DEFAULT-UNARY-/))
 (25 25 (:REWRITE EXPONENTS-ADD-FOR-NONNEG-EXPONENTS))
 (17 17 (:REWRITE FOLD-CONSTS-IN-*))
 (13 13 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(EXPONENTS-ADD
 (314 314 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-RATIONALP))
 (314 314 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE))
 (253 43 (:REWRITE DEFAULT-*-2))
 (88 43 (:REWRITE DEFAULT-*-1))
 (73 73 (:REWRITE DEFAULT-+-2))
 (73 73 (:REWRITE DEFAULT-+-1))
 (66 22 (:REWRITE /R-WHEN-ABS-NUMERATOR=1))
 (35 35 (:REWRITE DEFAULT-<-2))
 (35 35 (:REWRITE DEFAULT-<-1))
 (22 22 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (22 22 (:REWRITE DEFAULT-NUMERATOR))
 (21 21 (:REWRITE ZIP-OPEN))
 (11 11 (:REWRITE DEFAULT-UNARY-/))
 (6 6 (:REWRITE FOLD-CONSTS-IN-+))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(EXPONENTS-ADD-UNRESTRICTED
 (144 4 (:DEFINITION EXPT))
 (99 99 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-RATIONALP))
 (99 99 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE))
 (60 10 (:REWRITE DEFAULT-*-2))
 (24 8 (:REWRITE COMMUTATIVITY-OF-+))
 (24 8 (:REWRITE /R-WHEN-ABS-NUMERATOR=1))
 (20 10 (:REWRITE DEFAULT-*-1))
 (17 17 (:REWRITE DEFAULT-+-2))
 (17 17 (:REWRITE DEFAULT-+-1))
 (8 8 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (8 8 (:REWRITE DEFAULT-NUMERATOR))
 (4 4 (:REWRITE ZIP-OPEN))
 (4 4 (:REWRITE DEFAULT-UNARY-/))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:DEFINITION FIX))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(DISTRIBUTIVITY-OF-EXPT-OVER-*
 (1118 1118 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE))
 (213 103 (:REWRITE DEFAULT-*-1))
 (193 64 (:REWRITE /R-WHEN-ABS-NUMERATOR=1))
 (84 84 (:REWRITE DEFAULT-+-2))
 (84 84 (:REWRITE DEFAULT-+-1))
 (74 74 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (69 27 (:REWRITE DEFAULT-UNARY-/))
 (67 62 (:REWRITE DEFAULT-NUMERATOR))
 (62 62 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (36 12 (:REWRITE FOLD-CONSTS-IN-+))
 (32 32 (:REWRITE DEFAULT-<-2))
 (32 32 (:REWRITE DEFAULT-<-1))
 (24 24 (:REWRITE ZIP-OPEN))
 (22 22 (:REWRITE FOLD-CONSTS-IN-*))
 (12 12 (:REWRITE EXPONENTS-ADD-FOR-NONNEG-EXPONENTS))
 (12 12 (:REWRITE EXPONENTS-ADD))
 (5 5 (:REWRITE RATIONALP-*))
 )
(EXPT-1
 (22 4 (:REWRITE UNICITY-OF-1))
 (18 4 (:REWRITE DEFAULT-*-2))
 (18 4 (:DEFINITION FIX))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 (8 8 (:REWRITE DEFAULT-+-2))
 (8 8 (:REWRITE DEFAULT-+-1))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (5 5 (:REWRITE ZIP-OPEN))
 (4 4 (:REWRITE DEFAULT-*-1))
 )
(EXPONENTS-MULTIPLY
 (7550 7550 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE))
 (3206 531 (:REWRITE DEFAULT-*-2))
 (2271 506 (:REWRITE /R-WHEN-ABS-NUMERATOR=1))
 (1226 531 (:REWRITE DEFAULT-*-1))
 (612 612 (:REWRITE DEFAULT-+-2))
 (612 612 (:REWRITE DEFAULT-+-1))
 (509 281 (:REWRITE DEFAULT-NUMERATOR))
 (476 281 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (323 193 (:REWRITE DEFAULT-UNARY-/))
 (305 305 (:REWRITE DEFAULT-<-2))
 (305 305 (:REWRITE DEFAULT-<-1))
 (83 83 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (55 55 (:REWRITE FOLD-CONSTS-IN-*))
 (33 33 (:REWRITE RATIONALP-UNARY-/))
 (18 6 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:REWRITE EXPONENTS-ADD-FOR-NONNEG-EXPONENTS))
 (1 1 (:REWRITE DEFAULT-UNARY-MINUS))
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(FUNCTIONAL-COMMUTATIVITY-OF-EXPT-/-BASE
 (847 44 (:REWRITE /R-WHEN-ABS-NUMERATOR=1))
 (630 630 (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-POSITIVE))
 (165 38 (:REWRITE DEFAULT-NUMERATOR))
 (158 38 (:REWRITE NUMERATOR-WHEN-INTEGERP))
 (124 24 (:REWRITE DEFAULT-*-2))
 (56 24 (:REWRITE DEFAULT-*-1))
 (24 8 (:REWRITE COMMUTATIVITY-OF-+))
 (21 21 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (16 16 (:REWRITE DEFAULT-+-2))
 (16 16 (:REWRITE DEFAULT-+-1))
 (10 10 (:REWRITE DEFAULT-<-2))
 (10 10 (:REWRITE DEFAULT-<-1))
 (8 8 (:REWRITE ZIP-OPEN))
 (5 5 (:REWRITE RATIONALP-UNARY-/))
 (3 2 (:REWRITE RATIONALP-*))
 (2 2 (:REWRITE FOLD-CONSTS-IN-*))
 )
(EQUAL-CONSTANT-+
 (8 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 3 (:REWRITE DEFAULT-+-1))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 )
