alexor

Theorem.

Arguments:

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

Assertions:

((forallxphiveeexistsxpsi)toexistsx(phiveepsi))

Proof:

Hyp Ref Line Expr
al-ex1(forallxphitoexistsxphi)
1im.bldor<2((forallxphiveeexistsxpsi)to(existsxphiveeexistsxpsi))
ex.ordi3(existsx(phiveepsi)leftrightarrow(existsxphiveeexistsxpsi))
2, 3brpi22<4((forallxphiveeexistsxpsi)toexistsx(phiveepsi))