ax9alt-sv

Theorem.

Arguments:

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

Assertions:

(forallx((xeqy)toforallxphi)tophi)

Proof:

Hyp Ref Line Expr
ax9-sv1existsx(xeqy)
im.bldext2(forallx((xeqy)toforallxphi)to(existsx(xeqy)toexistsxforallxphi))
1, 2mpi3(forallx((xeqy)toforallxphi)toexistsxforallxphi)
ax6e4(existsxforallxphitophi)
3, 4syl5(forallx((xeqy)toforallxphi)tophi)