Description: The reciprocal of a positive integer is rational. (Contributed by NM, 17-Nov-2004)
Ref | Expression | ||
---|---|---|---|
Assertion | nnrecq | |- ( A e. NN -> ( 1 / A ) e. QQ ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 1z | |- 1 e. ZZ |
|
2 | znq | |- ( ( 1 e. ZZ /\ A e. NN ) -> ( 1 / A ) e. QQ ) |
|
3 | 1 2 | mpan | |- ( A e. NN -> ( 1 / A ) e. QQ ) |