| | 1 | === Base Template !UnionOf2Classes === |
| | 2 | |
| | 3 | [[br]]!UnionOf2Classes is a template for expressing that a class is the union of two classes. |
| | 4 | [[br]] |
| | 5 | [[br]]!UnionOf2Classes(a, b, c) means that a, b, and c are classes, and that c is the union of a |
| | 6 | and b. |
| | 7 | [[br]] |
| | 8 | [[br]]Roles: |
| | 9 | [[br]]1 hasClass1 Class |
| | 10 | [[br]]2 hasClass2 Class |
| | 11 | [[br]]3 hasClassUnion Class |
| | 12 | |
| | 13 | Axiom: |
| | 14 | {{{ |
| | 15 | UnionOf2Classes(x1, x2, x3) <-> |
| | 16 | Class(x1) & |
| | 17 | Class(x2) & |
| | 18 | Class(x3) & |
| | 19 | exists y(EnumeratedSetOf2Classes(x1, x2, y) & |
| | 20 | UnionOfSetOfClassTemplate(y, x3)) . |
| | 21 | }}} |
| | 22 | |
| | 23 | NOTE See 8.3 for further information on the representation used in this template. |
