alan>

Theorem.

Arguments:

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

Hypotheses:

(x bound in psi)

Assertions:

(forallx(phiwedgepsi)leftrightarrow(forallxphiwedgepsi))

Proof:

Hyp Ref Line Expr
Hypo1(x bound in psi)
al.andi2(forallx(phiwedgepsi)leftrightarrow(forallxphiwedgeforallxpsi))
1fv.eqal3(psileftrightarrowforallxpsi)
3bi.bldan>4((forallxphiwedgepsi)leftrightarrow(forallxphiwedgeforallxpsi))
2, 4><bitr5(forallx(phiwedgepsi)leftrightarrow(forallxphiwedgepsi))