bv-→

Theorem.

Arguments:

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

Hypotheses:

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

Assertions:

(x bound in (phitopsi))

Proof:

Hyp Ref Line Expr
Hypo1(x bound in psi)
2(x bound in phi)
2df-Bvp3(phitoforallxphi)
1df-Bvp4(psitoforallxpsi)
3, 4fv-im5((phitopsi)toforallx(phitopsi))
5df-Bvp6(x bound in (phitopsi))