| | 1 | === Base Template !LowerUpperOfNumberRange === |
| | 2 | |
| | 3 | [[br]]!LowerUpperOfNumberRange is a template for stating what the upper and lower bounds of a number range are. |
| | 4 | [[br]] |
| | 5 | [[br]]!LowerUpperOfNumberRange(a, b, c) means that a is a number range and b and c are numbers, |
| | 6 | [[br]]and that b is the lower, c the upper bound of a. |
| | 7 | [[br]] |
| | 8 | [[br]]Roles: |
| | 9 | [[br]]1 hasRange !NumberRange |
| | 10 | [[br]]2 hasLowerBound !ArithmeticNumber |
| | 11 | [[br]]3 hasUpperBound !ArithmeticNumber |
| | 12 | |
| | 13 | Axiom: |
| | 14 | {{{ |
| | 15 | LowerUpperOfNumberRange(x1, x2, x3) <-> |
| | 16 | NumberRange(x1) & |
| | 17 | ArithmeticNumber(x2) & |
| | 18 | ArithmeticNumber(x3) & |
| | 19 | LowerBoundOfNumberRangeTemplate(x2, x1) & |
| | 20 | UpperBoundOfNumberRangeTemplate(x3, x1) . |
| | 21 | }}} |
| | 22 | |
| | 23 | NOTE To represent number ranges which are not bounded, use the reference items Infinity and -Infinity (see 8.2.1). |
