Description: The Cartesian product of an ordinal and { 1o } is a surreal. (Contributed by Scott Fenton, 12-Jun-2011)
Ref | Expression | ||
---|---|---|---|
Assertion | noxp1o | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 1oex | |
|
2 | 1 | prid1 | |
3 | 2 | fconst6 | |
4 | 1 | snnz | |
5 | dmxp | |
|
6 | 4 5 | ax-mp | |
7 | 6 | feq2i | |
8 | 3 7 | mpbir | |
9 | 8 | a1i | |
10 | 6 | eleq1i | |
11 | 10 | biimpri | |
12 | elno3 | |
|
13 | 9 11 12 | sylanbrc | |