Theorem 3ad2antr2

Deduction adding conjuncts to antecedent. (Contributed by NM, 27-Dec-2007.)

Hypothesis
3ad2antl.1
\( \vdash \varphi \wedge \chi \rightarrow \theta \)
Conclusion
\( \vdash \varphi \wedge (\psi \wedge \chi \wedge \tau) \rightarrow \theta \)
Proof
3ad2antl.1
adantrl _
3adantr3 _