rational-not-zero -- r7rs Type

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Sub-types tree

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• integer-not-zero:
  • exact-integer-not-zero:
    • exact-integer-positive;
    • exact-integer-negative;
    • range-length-not-zero;
  • integer-positive:
    • exact-integer-positive;
  • integer-negative:
    • exact-integer-negative;
• rational-positive:
  • integer-positive:
    • exact-integer-positive;
• rational-negative:
  • integer-negative:
    • exact-integer-negative;

Super-types

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• real-not-zero;
• rational;

Super-types recursive

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• complex-not-zero;
• number-not-zero;
• number;
• complex;
• real;
• real-not-inf-not-nan;
• complex-not-inf-not-nan;
• number-not-inf-not-nan;
• number-not-inf;
• number-not-nan;
• complex-not-inf;
• complex-not-nan;
• real-not-inf;
• real-not-nan;

Sub-types

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• integer-not-zero;
• rational-positive;
• rational-negative;

Sub-types recursive

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• exact-integer-not-zero;
• integer-positive;
• exact-integer-positive;
• integer-negative;
• exact-integer-negative;
• range-length-not-zero;

Referent definitions as input

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• numerator;
• denominator;

Referent definitions as input (recursive)

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• number?;
• integer?;
• real?;
• rational?;
• complex?;
• exact?;
• inexact?;
• exact-integer?;
• zero?;
• =;
• +;
• -;
• *;
• /;
• expt;
• square;
• inexact;
• sqrt;
• exp;
• log;
• sin;
• cos;
• tan;
• asin;
• acos;
• atan;
• number->string;
• <;
• <=;
• >=;
• >;
• positive?;
• negative?;
• abs;
• floor/;
• floor-quotient;
• floor-remainder;
• truncate/;
• truncate-quotient;
• truncate-remainder;
• min;
• max;
• exact;
• finite?;
• infinite?;
• nan?;
• real-part;
• imag-part;
• magnitude;
• angle;
• floor;
• ceiling;
• truncate;
• round;
• rationalize;
• make-rectangular;
• make-polar;

Note: These definitions consume an input that is a super-type.

Predicate

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(lambda (value) (and (rational? value) (not (zero? value))))

Categories

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• types-numbers;

Categories recursive

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• types;