alnan.ex

Theorem.

Arguments:

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

Assertions:

(forallx(phitolnotpsi)leftrightarrowlnotexistsx(phiwedgepsi))

Proof:

Hyp Ref Line Expr
im.nan1((phitolnotpsi)leftrightarrowlnot(phiwedgepsi))
1eqt-∀-i2(forallx(phitolnotpsi)leftrightarrowforallxlnot(phiwedgepsi))
aln.ex3(forallxlnot(phiwedgepsi)leftrightarrowlnotexistsx(phiwedgepsi))
2, 3bitr4(forallx(phitolnotpsi)leftrightarrowlnotexistsx(phiwedgepsi))