#### 3.1` `Booleans and Equality

True and false are represented by the values #t and #f, respectively, though operations that depend a boolean value typically treat anything other than #f as true.

See also: and, or, andmap, ormap.

v : any/c |

Returns #t if v is #t or #f, #f otherwise.

v : any/c |

Returns #t if v is #f, #f otherwise.

v1 : any/c |

v2 : any/c |

Two values are equal? if and only if they are eqv?, unless otherwise specified for a particular datatype.

Datatypes with further specification of equal? include strings, byte strings, numbers, pairs, mutable pairs, vectors, hash tables, and inspectable structures. In the last five cases, equality is recursively defined; if both v1 and v2 contain reference cycles, they are equal when the infinite unfoldings of the values would be equal. See also prop:equal+hash.

v1 : any/c |

v2 : any/c |

Two values are eqv? if and only if they are eq?, unless otherwise specified for a particular datatype.

The number and character datatypes are the only ones for which eqv? differs from eq?.

v1 : any/c |

v2 : any/c |

Return #t if v1 and v2 refer to the same object, #f otherwise. See also Object Identity and Comparisons.

(immutable? v) → boolean? |

v : any/c |

Returns #t if v is an immutable string, byte string, vector, hash table, or box, #f otherwise.

A structure type property (see Structure Type Properties) that supplies an equality predicate and hashing functions for a structure type. The property value must be a list of three procedures:

equal-proc : (-> any/c any/c (-> any/c any/c boolean?) any/c) – tests whether the first two arguments are equal, where both values are instances of the structure type to which the property is associated (or a subtype of the structure type).

The third argument is an equal? predicate to use for recursive equality checks; use the given predicate instead of equal? to ensure that data cycles are handled properly.

The equal-proc is called for a pair of structures only when they are not eq?, and only when they both have a prop:equal+hash value inherited from the same structure type. With this strategy, the order in which equal? receives two structures does not matter. It also means that, by default, a structure sub-type inherits the equality predicate of its parent, if any.

hash-proc : (-> any/c (-> any/c exact-integer?) exact-integer?) – computes a hash code for the given structure, like equal-hash-code. The first argument is an instance of the structure type (or one of its subtypes) to which the property is associated.

The second argument is a equal-hash-code-like procedure to use for recursive hash-code computation; use the given procedure instead of equal-hash-code to ensure that data cycles are handled properly.

hash2-proc : (-> any/c (-> any/c exact-integer?) exact-integer?) – computes a secondary hash code for the given structure. This procedure is like hash-proc, but analogous to equal-secondary-hash-code.

Take care to ensure that hash-proc and hash2-proc are consistent with equal-proc. Specifically, hash-proc and hash2-proc should produce the same value for any two structures for which equal-proc produces a true value.

When a structure type has no prop:equal+hash property, then transparent structures (i.e., structures with an inspector that is controlled by the current inspector) are equal? when they are instances of the same structure type (not counting sub-types), and when they have equal? field values. For transparent structures, equal-hash-code and equal-secondary-hash-code derive hash code using the field values. For opaque structure types, equal? is the same as eq?, and equal-hash-code and equal-secondary-hash-code results are based only on eq-hash-code.

##### 3.1.1` `Boolean Synonyms

The bindings documented in this section are provided by the scheme/bool and scheme libraries, but not scheme/base.

A synonym for #t.

A synonym for #f.

a : symbol? |

b : symbol? |

Returns (equal? a b).

a : boolean? |

b : boolean? |

Returns (equal? a b).

v : any/c |

Returns (not v).