impexp

Theorem.

Arguments:

phi (pr), psi (pr), chi (pr),

Assertions:

(((phiwedgepsi)tochi)leftrightarrow(phito(psitochi)))

Proof:

Hyp Ref Line Expr
df-an1((phiwedgepsi)leftrightarrowlnot(phitolnotpsi))
1bi.bldim<2(((phiwedgepsi)tochi)leftrightarrow(lnot(phitolnotpsi)tochi))
imp-pre3((phito(psitochi))to(lnot(phitolnotpsi)tochi))
exp-pre4((lnot(phitolnotpsi)tochi)to(phito(psitochi)))
3, 4>bii5((lnot(phitolnotpsi)tochi)leftrightarrow(phito(psitochi)))
2, 5bitr6(((phiwedgepsi)tochi)leftrightarrow(phito(psitochi)))