Theorem 3adant3r2

Deduction adding a conjunct to antecedent. (Contributed by NM, 17-Feb-2008.)

Hypothesis
ad4ant3.1
\( \vdash \varphi \wedge \psi \wedge \chi \rightarrow \theta \)
Conclusion
\( \vdash \varphi \wedge (\psi \wedge \tau \wedge \chi) \rightarrow \theta \)
Proof
ad4ant3.1
3expb _
3adantr2 _