Theorem ax12dgen

Degenerate instance of [ax-12] where bundled variables \( x \) and \( y \) have a common substitution. Uses only Tarski's FOL axiom schemes. (Contributed by NM, 13-Apr-2017.)

Conclusion
\( \vdash x = x \rightarrow \forall x \, \varphi \rightarrow \forall x \, (x = x \rightarrow \varphi) \)
Proof
ala1
a1i _