Theorem wff_iff_true_iff_self | index | src |

\iff真值表:(A \iff \true) \iff A

theorem wff_iff_true_iff_self (A: wff): $ (A \iff \true) \iff A $;
StepHypRefExpression
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

Axiom use

Logic (ax_mp, ax_1, ax_2, ax_3)