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 ) ) |