\nf不出现(不可引用)
theorem _nf_abs (A: wff) {x: set}: $ \nf x A $;
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | imp_tran | (\ex x A \imp A) \imp (A \imp \fo x A) \imp \ex x A \imp \fo x A |
|
| 2 | ex_elim_abs | \ex x A \imp A |
|
| 3 | 1, 2 | ax_mp | (A \imp \fo x A) \imp \ex x A \imp \fo x A |
| 4 | fo_intro_abs | A \imp \fo x A |
|
| 5 | 3, 4 | ax_mp | \ex x A \imp \fo x A |
| 6 | 5 | conv nf | \nf x A |