Description: The representatives of positive integers as positive fractions. (Contributed by NM, 29-Oct-1995) (Revised by Mario Carneiro, 6-May-2013) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | pinq | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | breq1 | |
|
2 | fveq2 | |
|
3 | 2 | breq2d | |
4 | 3 | notbid | |
5 | 1 4 | imbi12d | |
6 | 5 | ralbidv | |
7 | 1pi | |
|
8 | opelxpi | |
|
9 | 7 8 | mpan2 | |
10 | nlt1pi | |
|
11 | 1oex | |
|
12 | op2ndg | |
|
13 | 11 12 | mpan2 | |
14 | 13 | breq2d | |
15 | 10 14 | mtbiri | |
16 | 15 | a1d | |
17 | 16 | ralrimivw | |
18 | 6 9 17 | elrabd | |
19 | df-nq | |
|
20 | 18 19 | eleqtrrdi | |