Theorem 3impa

Importation from double to triple conjunction. (Contributed by NM, 20-Aug-1995.) (Revised to shorten 3imp by Wolf Lammen, 20-Jun-2022.)

Hypothesis
3impa.1
\( \vdash \varphi \wedge \psi \wedge \chi \rightarrow \theta \)
Conclusion
\( \vdash \varphi \wedge \psi \wedge \chi \rightarrow \theta \)
Proof
l0
df-3an
\( \vdash \varphi \wedge \psi \wedge \chi \leftrightarrow \varphi \wedge \psi \wedge \chi \)
3impa.1
\( \vdash \varphi \wedge \psi \wedge \chi \rightarrow \theta \)
sylbi l0 _