Description: Obsolete version of spimew as of 22-Oct-2023. (Contributed by NM, 7-Aug-1994) (Proof shortened by Wolf Lammen, 10-Dec-2017) (New usage is discouraged.) (Proof modification is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | spimew.1 | |- ( ph -> A. x ph ) |
|
spimew.2 | |- ( x = y -> ( ph -> ps ) ) |
||
Assertion | spimehOLD | |- ( ph -> E. x ps ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spimew.1 | |- ( ph -> A. x ph ) |
|
2 | spimew.2 | |- ( x = y -> ( ph -> ps ) ) |
|
3 | ax6ev | |- E. x x = y |
|
4 | 3 2 | eximii | |- E. x ( ph -> ps ) |
5 | 4 | 19.35i | |- ( A. x ph -> E. x ps ) |
6 | 1 5 | syl | |- ( ph -> E. x ps ) |