Theorem 19.35i

Inference associated with 19.35. (Contributed by NM, 21-Jun-1993.)

Hypothesis
19.35i.1
\( \vdash \exists x \, (\varphi \rightarrow \psi) \)
Conclusion
\( \vdash \forall x \, \varphi \rightarrow \exists x \, \psi \)
Proof
l0
19.35i.1
\( \vdash \exists x \, (\varphi \rightarrow \psi) \)
19.35
\( \vdash \exists x \, (\varphi \rightarrow \psi) \leftrightarrow \forall x \, \varphi \rightarrow \exists x \, \psi \)
mpbi l0 _