Description: Alternate proof of fvprc using ax-pow instead of ax-sep and ax-pr . (Contributed by NM, 20-May-1998) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | fvprcALT | |- ( -. A e. _V -> ( F ` A ) = (/) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | brprcneu | |- ( -. A e. _V -> -. E! x A F x ) |
|
| 2 | tz6.12-2 | |- ( -. E! x A F x -> ( F ` A ) = (/) ) |
|
| 3 | 1 2 | syl | |- ( -. A e. _V -> ( F ` A ) = (/) ) |