同变元\nf\nf(不可引用)
theorem _nf_nf_same {x: set} (A: wff x): $ \nf x \nf x A $;
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | _nf_ex_same | \nf x \ex x A |
|
| 2 | _nf_fo_same | \nf x \fo x A |
|
| 3 | 1, 2 | _nf_clos_imp | \nf x (\ex x A \imp \fo x A) |
| 4 | 3 | conv nf | \nf x \nf x A |