Description: Define the set of rational numbers. Based on definition of rationals in Apostol p. 22. See elq for the relation "is rational." (Contributed by NM, 8-Jan-2002)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-q | |- QQ = ( / " ( ZZ X. NN ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | cq | ||
| 1 | cdiv | |- / |
|
| 2 | cz | |- ZZ |
|
| 3 | cn | |- NN |
|
| 4 | 2 3 | cxp | |- ( ZZ X. NN ) |
| 5 | 1 4 | cima | |- ( / " ( ZZ X. NN ) ) |
| 6 | 0 5 | wceq | |- QQ = ( / " ( ZZ X. NN ) ) |