Description: The reciprocal of a positive natural number is a positive real number. (Contributed by Glauco Siliprandi, 26-Jun-2021)
Ref | Expression | ||
---|---|---|---|
Assertion | nnrecrp | |- ( N e. NN -> ( 1 / N ) e. RR+ ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nnrp | |- ( N e. NN -> N e. RR+ ) |
|
2 | rpreccl | |- ( N e. RR+ -> ( 1 / N ) e. RR+ ) |
|
3 | 1 2 | syl | |- ( N e. NN -> ( 1 / N ) e. RR+ ) |