Theorem false_iff_false_iff_true | index | src |

\iff真值表:(\false \iff \false) \iff \true

theorem false_iff_false_iff_true: $ (\false \iff \false) \iff \true $;
StepHypRefExpression
1 prov_iff_true
(\false \iff \false) \imp ((\false \iff \false) \iff \true)
2 iff_refl
\false \iff \false
3 1, 2 ax_mp
(\false \iff \false) \iff \true

Axiom use

Logic (ax_mp, ax_1, ax_2, ax_3)