Theorem true_imp_true_iff_true | index | src |

\imp真值表:\true \imp \true \iff \true

theorem true_imp_true_iff_true: $ \true \imp \true \iff \true $;
StepHypRefExpression
1 prov_iff_true
(\true \imp \true) \imp (\true \imp \true \iff \true)
2 imp_refl
\true \imp \true
3 1, 2 ax_mp
\true \imp \true \iff \true

Axiom use

Logic (ax_mp, ax_1, ax_2, ax_3)