| 1 | === Base Template !RelativeComplementOf2Classes === |
| 2 | |
| 3 | [[br]]!RelativeComplementOf2Classes is a template for expressing that a class is the relative complement of two classes. |
| 4 | [[br]] |
| 5 | [[br]]!RelativeComplementOf2Classes(a, b, c) means that c is the relative complement of a and b. |
| 6 | [[br]] |
| 7 | [[br]]Roles: |
| 8 | [[br]]1 hasClass1 Class |
| 9 | [[br]]2 hasClass2 Class |
| 10 | [[br]]3 hasClassRelativeComplement Class |
| 11 | |
| 12 | Axiom: |
| 13 | {{{ |
| 14 | RelativeComplementOf2Classes(x1, x2, x3) <-> |
| 15 | Class(x1) & |
| 16 | Class(x2) & |
| 17 | Class(x3) & |
| 18 | exists y(DifferenceOf2Classes(x1, x2, y) & |
| 19 | IntersectionOf2Classes(x1, y, x3)) . |
| 20 | }}} |
| 21 | |
| 22 | NOTE The relative complement of two classes a and b is commonly written anb. See 8.3 for further information on the representation used in this template. |