alor>

Theorem.

Arguments:

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

Hypotheses:

(x bound in psi)

Assertions:

(forallx(phiveepsi)leftrightarrow(forallxphiveepsi))

Proof:

Hyp Ref Line Expr
Hypo1(x bound in psi)
1alor<2(forallx(psiveephi)leftrightarrow(psiveeforallxphi))
orcom3((phiveepsi)leftrightarrow(psiveephi))
3eqt-∀-i4(forallx(phiveepsi)leftrightarrowforallx(psiveephi))
orcom5((forallxphiveepsi)leftrightarrow(psiveeforallxphi))
2, 4, 5<2bitr6(forallx(phiveepsi)leftrightarrow(forallxphiveepsi))