Description: Deduction form of Theorem 19.22 of Margaris p. 90, see exim . See eximdh and eximd for versions without a distinct variable condition. (Contributed by NM, 27-Apr-1994)
Ref | Expression | ||
---|---|---|---|
Hypothesis | alimdv.1 | |- ( ph -> ( ps -> ch ) ) |
|
Assertion | eximdv | |- ( ph -> ( E. x ps -> E. x ch ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alimdv.1 | |- ( ph -> ( ps -> ch ) ) |
|
2 | ax-5 | |- ( ph -> A. x ph ) |
|
3 | 2 1 | eximdh | |- ( ph -> ( E. x ps -> E. x ch ) ) |