Description: Example of a "Liouville number", a very simple definable transcendental real. (Contributed by Stefan O'Rear, 23-Nov-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | aaliou3 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid | |
|
2 | fveq2 | |
|
3 | 2 | negeqd | |
4 | 3 | oveq2d | |
5 | 4 | cbvsumv | |
6 | fveq2 | |
|
7 | 6 | negeqd | |
8 | 7 | oveq2d | |
9 | ovex | |
|
10 | 8 1 9 | fvmpt | |
11 | 10 | eqcomd | |
12 | 11 | sumeq2i | |
13 | 5 12 | eqtri | |
14 | eqid | |
|
15 | 1 13 14 | aaliou3lem9 | |
16 | 15 | nelir | |