Theorem
ad5ant2345
Deduction adding conjuncts to antecedent. (Contributed by Alan Sare, 17-Oct-2017.)
Hypothesis
ad5ant2345.1
\( \vdash \varphi \wedge \psi \wedge \chi \wedge \theta \rightarrow \tau \)
Conclusion
\( \vdash \eta \wedge \varphi \wedge \psi \wedge \chi \wedge \theta \rightarrow \tau \)
Proof
ad5ant2345.1
exp41
_
adantl
_
imp41
_
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