Description: The domain of a strictly monotone ordinal function is an ordinal. (Contributed by Mario Carneiro, 12-Mar-2013)
Ref | Expression | ||
---|---|---|---|
Assertion | smodm2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | smodm | |
|
2 | fndm | |
|
3 | ordeq | |
|
4 | 2 3 | syl | |
5 | 4 | biimpa | |
6 | 1 5 | sylan2 | |