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It is shown that the spin-fermion model found to be an effective low-energyimplementation of the three-band Emery model after Wannier transformation of$p_x$- and $p_y$-orbitals in the oxygen ions subsystem is reduced to thegeneralized Kondo lattice model. Its essential feature is the presence ofspin-correlated hoppings of the current carriers between distant cells.Numerical calculations of the spin-polaron spectrum demonstrate the importantrole of the distant hoppings.

The generalized Kondo lattice model and its spin-polaron implementation for cuprates by projection method