im.an

Theorem.

Arguments:

phi (pr), psi (pr),

Assertions:

((phitopsi)leftrightarrowlnot(phiwedgelnotpsi))

Proof:

Hyp Ref Line Expr
bneg>1(psileftrightarrowlnotlnotpsi)
1bi.bldim>2((phitopsi)leftrightarrow(phitolnotlnotpsi))
df-an3((phiwedgelnotpsi)leftrightarrowlnot(phitolnotlnotpsi))
3conb>i4((phitolnotlnotpsi)leftrightarrowlnot(phiwedgelnotpsi))
2, 4bitr5((phitopsi)leftrightarrowlnot(phiwedgelnotpsi))