bv-∧

Theorem.

Arguments:

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

Hypotheses:

(x bound in psi)
(x bound in phi)

Assertions:

(x bound in (phiwedgepsi))

Proof:

Hyp Ref Line Expr
Hypo1(x bound in psi)
2(x bound in phi)
1bv-¬3(x bound in lnotpsi)
2, 3bv-→4(x bound in (phitolnotpsi))
4bv-¬5(x bound in lnot(phitolnotpsi))
df-an6((phiwedgepsi)leftrightarrowlnot(phitolnotpsi))
5, 6bvdef7(x bound in (phiwedgepsi))