The energy composition of the Universe reveals a kind of internal (non-geometrical) time-independent covariant symmetry. The symmetry is recognized with an empirical analysis of the current concordance cosmological data and represented most naturally in terms of the Friedmann integrals: the four integrals estimated separately for vacuum (dark energy), dark matter, baryons and radiation prove to be equal to each other, on the order of magnitude. A phenomenological model is suggested which shows how the symmetry might emerge due to the gravity-electroweak interplay in the very early Universe. The symmetry enables to identify genuine links among basic cosmological problems that otherwise seemed unrelated.

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