Theorem
pm2.18i
Inference associated with the Clavius law
pm2.18
. (Contributed by BJ, 30-Mar-2020.)
Hypothesis
pm2.18i.1
\( \vdash \neg \varphi \rightarrow \varphi \)
Conclusion
\( \vdash \varphi \)
Proof
l0
pm2.18i.1
\( \vdash \neg \varphi \rightarrow \varphi \)
pm2.18
\( \vdash (\neg \varphi \rightarrow \varphi) \rightarrow \varphi \)
ax-mp
l0
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