Description: Nonfreeness implies the equivalent of ax5e , deduction form. (Contributed by BJ, 2-Dec-2023)
Ref | Expression | ||
---|---|---|---|
Hypothesis | bj-nnfed.1 | |- ( ph -> F// x ps ) |
|
Assertion | bj-nnfed | |- ( ph -> ( E. x ps -> ps ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-nnfed.1 | |- ( ph -> F// x ps ) |
|
2 | bj-nnfe | |- ( F// x ps -> ( E. x ps -> ps ) ) |
|
3 | 1 2 | syl | |- ( ph -> ( E. x ps -> ps ) ) |