Theorem
pm5.62
Theorem *5.62 of [WhiteheadRussell] p. 125. (Contributed by Roy F. Longton, 21-Jun-2005.)
Conclusion
\( \vdash \varphi \wedge \psi \vee \neg \psi \leftrightarrow \varphi \vee \neg \psi \)
Proof
l0
exmid
\( \vdash \psi \vee \neg \psi \)
ordir
\( \vdash \varphi \wedge \psi \vee \neg \psi \leftrightarrow (\varphi \vee \neg \psi) \wedge (\psi \vee \neg \psi) \)
mpbiran2
l0
_
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