Description: A more general instance of hbex . (Contributed by BJ, 4-Apr-2026)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | bj-hbex.1 | |- ( ph -> A. x ps ) |
|
| Assertion | bj-hbex | |- ( E. y ph -> A. x E. y ps ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | bj-hbex.1 | |- ( ph -> A. x ps ) |
|
| 2 | 19.12 | |- ( E. y A. x ps -> A. x E. y ps ) |
|
| 3 | 2 1 | bj-sylge | |- ( E. y ph -> A. x E. y ps ) |