Theorem iff_decomp | index | src |

\iff正分解

theorem iff_decomp (A B: wff): $ (A \iff B) \imp A \imp B $;
StepHypRefExpression
1 and_splitl
(A \imp B) \and (B \imp A) \imp A \imp B
2 1 conv iff
(A \iff B) \imp A \imp B

Axiom use

Logic (ax_mp, ax_1, ax_2, ax_3)