al.andi

Theorem.

Arguments:

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

Assertions:

(forallx(phiwedgepsi)leftrightarrow(forallxphiwedgeforallxpsi))

Proof:

Hyp Ref Line Expr
siman<1((phiwedgepsi)tophi)
1im.bldal2(forallx(phiwedgepsi)toforallxphi)
siman>3((phiwedgepsi)topsi)
3im.bldal4(forallx(phiwedgepsi)toforallxpsi)
2, 4jca5(forallx(phiwedgepsi)to(forallxphiwedgeforallxpsi))
>and6(phito(psito(phiwedgepsi)))
62im.bldal7(forallxphito(forallxpsitoforallx(phiwedgepsi)))
7imp8((forallxphiwedgeforallxpsi)toforallx(phiwedgepsi))
5, 8>bii9(forallx(phiwedgepsi)leftrightarrow(forallxphiwedgeforallxpsi))