Theorem nfeuw

Bound-variable hypothesis builder for the unique existential quantifier. Version of nfeu with a disjoint variable condition, which does not require [ax-13]. (Contributed by NM, 8-Mar-1995.) Avoid [ax-13]. (Revised by GG, 10-Jan-2024.)

Hypothesis
nfeuw.1
\( \vdash \Finv x \, \varphi \)
Conclusion
\( \vdash \Finv x \, \exists{!} y \, \varphi \)
Proof
l0
nftru
nfeuw.1
a1i _
nfeudw l0 _
mptru _