Theorem axc11

Show that [ax-c11] can be derived from [ax-c11n] in the form of axc11n. Normally, axc11 should be used rather than [ax-c11], except by theorems specifically studying the latter's properties. Usage of this theorem is discouraged because it depends on [ax-13]. Use the weaker axc11v when possible. (Contributed by NM, 16-May-2008.) (Proof shortened by Wolf Lammen, 21-Apr-2018.) (New usage is discouraged.)

Conclusion
\( \vdash \forall x \, x = y \rightarrow \forall x \, \varphi \rightarrow \forall y \, \varphi \)
Proof
axc11r
aecoms _