bi>

Theorem.

Arguments:

phi (pr), psi (pr),

Assertions:

((phileftrightarrowpsi)to(phitopsi))

Proof:

Hyp Ref Line Expr
df-bi1lnot(((phileftrightarrowpsi)tolnot((phitopsi)tolnot(psitophi)))tolnot(lnot((phitopsi)tolnot(psitophi))to(phileftrightarrowpsi)))
1pm3.26im2((phileftrightarrowpsi)tolnot((phitopsi)tolnot(psitophi)))
pm3.26im3(lnot((phitopsi)tolnot(psitophi))to(phitopsi))
2, 3syl4((phileftrightarrowpsi)to(phitopsi))