ax4a

Theorem.

Arguments:

x (sv), y (sv), phi (pr), psi (pr),

Hypotheses:

((xeqy)to(phitopsi))
(x bound in psi)

Assertions:

(forallxphitopsi)

Proof:

Hyp Ref Line Expr
Hypo1((xeqy)to(phitopsi))
2(x bound in psi)
2df-Bvp3(psitoforallxpsi)
1com12i4(phito((xeqy)topsi))
3, 4rpi335(phito((xeqy)toforallxpsi))
5im.bldal6(forallxphitoforallx((xeqy)toforallxpsi))
ax9alt-sv7(forallx((xeqy)toforallxpsi)topsi)
6, 7syl8(forallxphitopsi)