Theorem al2im

Closed form of al2imi. Version of alim for a nested implication. (Contributed by Alan Sare, 31-Dec-2011.)

Conclusion
\( \vdash \forall x \, (\varphi \rightarrow \psi \rightarrow \chi) \rightarrow \forall x \, \varphi \rightarrow \forall x \, \psi \rightarrow \forall x \, \chi \)
Proof
l0
alim
\( \vdash \forall x \, (\varphi \rightarrow \psi \rightarrow \chi) \rightarrow \forall x \, \varphi \rightarrow \forall x \, (\psi \rightarrow \chi) \)
alim
\( \vdash \forall x \, (\psi \rightarrow \chi) \rightarrow \forall x \, \psi \rightarrow \forall x \, \chi \)
syl6 l0 _