Information theory link between MaxEnt and a key thermodynamic relation

We focus attention on the particular thermodynamic relation dU=TdS+δW. Using information theory concepts we show that, for a reversible process in which intensive variables change, microscopic considerations related to this thermodynamic relation make the informational contents of, respectively, dU=TdS+δW and MaxEnt equivalent. The pertinent demonstration is obtained when trying to ascertain the corresponding equilibrium microscopic probability distribution.