alan<

Theorem.

Arguments:

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

Hypotheses:

(x bound in phi)

Assertions:

(forallx(phiwedgepsi)leftrightarrow(phiwedgeforallxpsi))

Proof:

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