Theorem
jaodan
Deduction disjoining the antecedents of two implications. (Contributed by NM, 14-Oct-2005.)
Hypotheses
jaodan.1
\( \vdash \varphi \wedge \psi \rightarrow \chi \)
jaodan.2
\( \vdash \varphi \wedge \theta \rightarrow \chi \)
Conclusion
\( \vdash \varphi \wedge (\psi \vee \theta) \rightarrow \chi \)
Proof
jaodan.1
l1
ex
_
jaodan.2
ex
_
jaod
l1
_
imp
_
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