Description: The domain of a surreal has the ordinal property. (Contributed by Scott Fenton, 16-Jun-2011)
Ref | Expression | ||
---|---|---|---|
Assertion | nodmord | |- ( A e. No -> Ord dom A ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nodmon | |- ( A e. No -> dom A e. On ) |
|
2 | eloni | |- ( dom A e. On -> Ord dom A ) |
|
3 | 1 2 | syl | |- ( A e. No -> Ord dom A ) |