Description: The class of all ordinal numbers is its own successor. (Contributed by NM, 12-Sep-2003)
Ref | Expression | ||
---|---|---|---|
Assertion | sucon | |- suc On = On |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | onprc | |- -. On e. _V |
|
2 | sucprc | |- ( -. On e. _V -> suc On = On ) |
|
3 | 1 2 | ax-mp | |- suc On = On |