Sensor Markov Property

A Sensor Model has the sensor markov property iff $\mathrm{P}\left({\mathrm{E}}_t\mid {\mathrm{X}}_{0:t},{\mathrm{E}}_{1:t-1}\right)=\mathrm{P}\left({\mathrm{E}}_t\mid {\mathrm{X}}_t\right)$