alexan<

Theorem.

Arguments:

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

Assertions:

((existsxphiwedgeforallxpsi)toexistsx(phiwedgepsi))

Proof:

Hyp Ref Line Expr
alexan>1((forallxpsiwedgeexistsxphi)toexistsx(psiwedgephi))
ancom2((existsxphiwedgeforallxpsi)leftrightarrow(forallxpsiwedgeexistsxphi))
ancom3((phiwedgepsi)leftrightarrow(psiwedgephi))
3eqt-∃-i4(existsx(phiwedgepsi)leftrightarrowexistsx(psiwedgephi))
1, 2, 4<imtr5((existsxphiwedgeforallxpsi)toexistsx(phiwedgepsi))