  In quantum theory, no-go theorems are important as they rule out the
existence of a particular physical model under consideration. For instance, the
Greenberger-Horne-Zeilinger (GHZ) theorem serves as a no-go theorem for the
nonexistence of local hidden variable models by presenting a full contradiction
for the multipartite GHZ states. However, the elegant GHZ argument for Bell's
nonlocality does not go through for bipartite Einstein-Podolsky-Rosen (EPR)
state. Recent study on quantum nonlocality has shown that the more precise
description of EPR's original scenario is "steering", i.e., the nonexistence of
local hidden state models. Here, we present a simple GHZ-like contradiction for
any bipartite pure entangled state, thus proving a no-go theorem for the
nonexistence of local hidden state models in the EPR paradox. This also
indicates that the very simple steering paradox presented here is indeed the
closest form to the original spirit of the EPR paradox.
