Description: Obsolete version of spcgv as of 25-Aug-2023. (Contributed by NM, 22-Jun-1994) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | spcgv.1 | |- ( x = A -> ( ph <-> ps ) ) |
|
| Assertion | spcgvOLD | |- ( A e. V -> ( A. x ph -> ps ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | spcgv.1 | |- ( x = A -> ( ph <-> ps ) ) |
|
| 2 | nfcv | |- F/_ x A |
|
| 3 | nfv | |- F/ x ps |
|
| 4 | 2 3 1 | spcgf | |- ( A e. V -> ( A. x ph -> ps ) ) |