Theorem jca32

Join three consequents. (Contributed by FL, 1-Aug-2009.)

Hypotheses
jca31.1
\( \vdash \varphi \rightarrow \psi \)
jca31.2
\( \vdash \varphi \rightarrow \chi \)
jca31.3
\( \vdash \varphi \rightarrow \theta \)
Conclusion
\( \vdash \varphi \rightarrow \psi \wedge (\chi \wedge \theta) \)
Proof
l0
jca31.1
l1
jca31.2
jca31.3
jca l1 _
jca l0 _