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Considering a minimal number of assumptions and in the context of thetimeless formalism, conditional probabilities are derived for subsequentmeasurements in the non-relativistic regime. Only unitary transformations areconsidered with detection processes described by generalized measurements(POVM). One-time conditional probabilities are unambiguously derived via theGleason-Bush theorem, including for puzzling cases like the Wigner's friendscenario where their form underlines the relativity aspect of measurements. Noparadoxical situations emerge and the roles of Wigner and Wigner can be seen byhis friend as being in a superposition.

Conditional probabilities of measurements, quantum time and the Wigner's friend case