Theorem 19.24

Theorem 19.24 of [Margaris] p. 90. (Contributed by NM, 12-Mar-1993.)

Conclusion
\( \vdash (\forall x \, \varphi \rightarrow \forall x \, \psi) \rightarrow \exists x \, (\varphi \rightarrow \psi) \)
Proof
19.2
l1
imim2i _
\( \vdash (\forall x \, \varphi \rightarrow \forall x \, \psi) \rightarrow \forall x \, \varphi \rightarrow \exists x \, \psi \)
19.35
\( \vdash \exists x \, (\varphi \rightarrow \psi) \leftrightarrow \forall x \, \varphi \rightarrow \exists x \, \psi \)
sylibr l1 _