Description: All sets are well-orderable under choice. (Contributed by Stefan O'Rear, 28-Feb-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | numth3 | |- ( A e. V -> A e. dom card ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elex | |- ( A e. V -> A e. _V ) |
|
2 | cardeqv | |- dom card = _V |
|
3 | 1 2 | eleqtrrdi | |- ( A e. V -> A e. dom card ) |