Theorem 3ad2antr3

Deduction adding conjuncts to antecedent. (Contributed by NM, 30-Dec-2007.)

Hypothesis
3ad2antl.1
\( \vdash \varphi \wedge \chi \rightarrow \theta \)
Conclusion
\( \vdash \varphi \wedge (\psi \wedge \tau \wedge \chi) \rightarrow \theta \)
Proof
3ad2antl.1
adantrl _
3adantr1 _