bvdefd

Theorem.

Arguments:

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

Hypotheses:

(phito(psileftrightarrowchi))
(x bound in chi)
(x bound in phi)

Assertions:

(phito(psitoforallxpsi))

Proof:

Hyp Ref Line Expr
Hypo1(phito(psileftrightarrowchi))
2(x bound in chi)
3(x bound in phi)
1, 3bi.bldald4(phito(forallxpsileftrightarrowforallxchi))
1, 4bi.bldim<>d5(phito((psitoforallxpsi)leftrightarrow(chitoforallxchi)))
5bi<6(phito((chitoforallxchi)to(psitoforallxpsi)))
2df-Bvp7(chitoforallxchi)
6, 7mpi8(phito(psitoforallxpsi))