nor.an

Theorem.

Arguments:

phi (pr), psi (pr),

Assertions:

(lnot(phiveepsi)leftrightarrow(lnotphiwedgelnotpsi))

Proof:

Hyp Ref Line Expr
bneg>1(phileftrightarrowlnotlnotphi)
bneg>2(psileftrightarrowlnotlnotpsi)
1, 2bi.bldor<>3((phiveepsi)leftrightarrow(lnotlnotphiveelnotlnotpsi))
3bi.bldneg4(lnot(phiveepsi)leftrightarrowlnot(lnotlnotphiveelnotlnotpsi))
an.or5((lnotphiwedgelnotpsi)leftrightarrowlnot(lnotlnotphiveelnotlnotpsi))
4, 5><bitr6(lnot(phiveepsi)leftrightarrow(lnotphiwedgelnotpsi))