bv-∃b

Theorem.

Arguments:

x (sv), phi (pr),

Assertions:

(x bound in existsxphi)

Proof:

Hyp Ref Line Expr
bv-∀b1(x bound in forallxlnotphi)
1bv-¬2(x bound in lnotforallxlnotphi)
df-ex3(existsxphileftrightarrowlnotforallxlnotphi)
2, 3bvdef4(x bound in existsxphi)