************************************************************************* 72111 We propose a 200ks ASCA observation of the low-luminosity AGN NGC4258 which we plan to make simultaneous with RXTE observations. This object has become the test-bed of the so-called `Strong ADAF Principle' which states that an accretion disk will always be an Advection Dominated Accretion Flow (ADAF) if the mass accretion rate is below a critical value. Our joint ASCA/RXTE data will allow us to search for a broad iron line in the X-ray spectrum of NGC4258. The detection of any such line will point to the presence of a cold, radiatively efficient accretion disk rather than a hot advective flow and provide a firm counter-example to the Strong ADAF Principle. This is of fundamental importance to our understanding of accretion disk physics. *************************************************************************