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Mirrors > Home > MPE Home > Th. List > xp2nd | Structured version Visualization version Unicode version |
Description: Location of the second element of a Cartesian product. (Contributed by Jeff Madsen, 2-Sep-2009.) |
Ref | Expression |
---|---|
xp2nd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elxp 5131 | . 2 | |
2 | vex 3203 | . . . . . . 7 | |
3 | vex 3203 | . . . . . . 7 | |
4 | 2, 3 | op2ndd 7179 | . . . . . 6 |
5 | 4 | eleq1d 2686 | . . . . 5 |
6 | 5 | biimpar 502 | . . . 4 |
7 | 6 | adantrl 752 | . . 3 |
8 | 7 | exlimivv 1860 | . 2 |
9 | 1, 8 | sylbi 207 | 1 |
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