  Quantum Darwinism explains the emergence of classical reality from the
underlying quantum reality by the fact that a quantum system is observed
indirectly, by looking at parts of its environment, so that only specific
information about the system that is redundantly proliferated to many parts of
the environment becomes accessible and objective. However it is not clear under
what conditions this mechanism holds true. Here we rigorously prove that the
emergence of classicality is a general feature of any quantum dynamics:
observers who acquire information about a quantum system indirectly have access
at most to classical information about one and the same measurement of the
quantum system; moreover, if such information is available to many observers,
they necessarily agree. Remarkably, our analysis goes beyond the
system-environment categorization. We also provide a full characterization of
the so-called quantum discord in terms of local redistribution of correlations.
