Description: Obsolete version of cbvopab1v as of 17-Nov-2024. (Contributed by NM, 31-Jul-2003) (Proof shortened by Eric Schmidt, 4-Apr-2007) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | cbvopab1vOLD.1 | |- ( x = z -> ( ph <-> ps ) ) |
|
| Assertion | cbvopab1vOLD | |- { <. x , y >. | ph } = { <. z , y >. | ps } |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cbvopab1vOLD.1 | |- ( x = z -> ( ph <-> ps ) ) |
|
| 2 | nfv | |- F/ z ph |
|
| 3 | nfv | |- F/ x ps |
|
| 4 | 2 3 1 | cbvopab1 | |- { <. x , y >. | ph } = { <. z , y >. | ps } |