bi.bldbi>

Theorem.

Arguments:

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

Hypotheses:

(phileftrightarrowpsi)

Assertions:

((chileftrightarrowphi)leftrightarrow(chileftrightarrowpsi))

Proof:

Hyp Ref Line Expr
Hypo1(phileftrightarrowpsi)
dfbi2((chileftrightarrowphi)leftrightarrow((chitophi)wedge(phitochi)))
1bi.bldim<3((phitochi)leftrightarrow(psitochi))
3bi.bldan>4(((chitophi)wedge(phitochi))leftrightarrow((chitophi)wedge(psitochi)))
2, 4bitr5((chileftrightarrowphi)leftrightarrow((chitophi)wedge(psitochi)))
1bi.bldim>6((chitophi)leftrightarrow(chitopsi))
6bi.bldan<7(((chitophi)wedge(psitochi))leftrightarrow((chitopsi)wedge(psitochi)))
5, 7bitr8((chileftrightarrowphi)leftrightarrow((chitopsi)wedge(psitochi)))
dfbi9((chileftrightarrowpsi)leftrightarrow((chitopsi)wedge(psitochi)))
8, 9><bitr10((chileftrightarrowphi)leftrightarrow(chileftrightarrowpsi))