\neg真值表:\neg \false \iff \true
theorem neg_false_iff_true: $ \neg \false \iff \true $;
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | iff_symm | (\true \iff \neg \neg \true) \imp (\neg \neg \true \iff \true) |
|
| 2 | negneg_alloc | \true \iff \neg \neg \true |
|
| 3 | 1, 2 | ax_mp | \neg \neg \true \iff \true |
| 4 | 3 | conv false | \neg \false \iff \true |