Theorem 3ad2ant1

Deduction adding conjuncts to an antecedent. (Contributed by NM, 21-Apr-2005.)

Hypothesis
3ad2ant.1
\( \vdash \varphi \rightarrow \chi \)
Conclusion
\( \vdash \varphi \wedge \psi \wedge \theta \rightarrow \chi \)
Proof
3ad2ant.1
adantr _
3adant2 _