Description: Nonfreeness implies the equivalent of ax-5 , deduction form. See nf5rd . (Contributed by BJ, 2-Dec-2023)
Ref | Expression | ||
---|---|---|---|
Hypothesis | bj-nnfad.1 | |- ( ph -> F// x ps ) |
|
Assertion | bj-nnfad | |- ( ph -> ( ps -> A. x ps ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-nnfad.1 | |- ( ph -> F// x ps ) |
|
2 | bj-nnfa | |- ( F// x ps -> ( ps -> A. x ps ) ) |
|
3 | 1 2 | syl | |- ( ph -> ( ps -> A. x ps ) ) |