im.bldext

Theorem.

Arguments:

x (sv), phi (pr), psi (pr),

Assertions:

(forallx(phitopsi)to(existsxphitoexistsxpsi))

Proof:

Hyp Ref Line Expr
con1((phitopsi)to(lnotpsitolnotphi))
12im.bldal2(forallx(phitopsi)to(forallxlnotpsitoforallxlnotphi))
2con3(forallx(phitopsi)to(lnotforallxlnotphitolnotforallxlnotpsi))
df-ex4(existsxphileftrightarrowlnotforallxlnotphi)
df-ex5(existsxpsileftrightarrowlnotforallxlnotpsi)
3, 4, 5<imtrg6(forallx(phitopsi)to(existsxphitoexistsxpsi))