## Booleans

Booleans represents truth values of for instance guards and other conditions and properties. The only two possible values are `true` (condition or property holds) and `false` (condition or property does not hold). The default value of booleans (`bool` type) is `false`. Several standard logical operators are available to work with booleans, including the following:

``````not x       // inverse

x and y     // conjunction (both x and y must hold)
x or y      // disjunction (either x, y, or both must hold)
x => y      // implication (if x holds, y must hold)

x = y       // equal to
x != y      // not equal to``````

The condition `x < 3` evaluates to `true` if `x` is less than `3` and to `false` if `x` is `3` or larger than `3`. The result is thus a boolean value.

Conditions can be combined. `x >= 3 and x <= 9` means that the value of `x` must be both at least `3` and at most `9`. `x >= 3 or x <= 9` means that the value of `x` must be at least `3`, at most `9`, or both. Since the condition is always satisfied (it always evaluates to `true`), condition `true` can be used instead of `x >= 3 or x <= 9`.