\iff真值表:(A \iff \true) \iff A
theorem wff_iff_true_iff_self (A: wff): $ (A \iff \true) \iff A $;
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | iff_symm | (A \iff A \iff \true) \imp ((A \iff \true) \iff A) |
|
| 2 | assgin_true | A \iff A \iff \true |
|
| 3 | 1, 2 | ax_mp | (A \iff \true) \iff A |