Theorem neg_false_iff_true | index | src |

\neg真值表:\neg \false \iff \true

theorem neg_false_iff_true: $ \neg \false \iff \true $;
StepHypRefExpression
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

Axiom use

Logic (ax_mp, ax_1, ax_2, ax_3)