Theorem ax1w

Weakening of [ax-1]. As a consequence, its associated inference is an instance (where we allow extra hypotheses) of [ax-1]. Its commuted form is 2a1 (but ax1w does not require [ax-2] ). (Contributed by BJ, 11-Aug-2020.)

Conclusion
\( \vdash \varphi \rightarrow \psi \rightarrow \chi \rightarrow \psi \)
Proof
ax-1
a1i _