Description: Values of the Hartogs function are ordinals (closure of the Hartogs function in the ordinals). (Contributed by Stefan O'Rear, 11-Feb-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | harcl | |- ( har ` X ) e. On |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | harf | |- har : _V --> On |
|
2 | 0elon | |- (/) e. On |
|
3 | 1 2 | f0cli | |- ( har ` X ) e. On |