Armstrong systems and Galois connections

In the paper [1], it is proved that any Galois connection (f, g) on a complete lattice made an Armstrong system F_{(f, g)}. We prove in this short note that the converse holds, that is, for a given Armstrong system R, we can make a Galois connection (φ_R, ψ_R) and the original Armstrong system R is identical with the induced Armstrong system F_{(φR, ψR)} by the Galois connection (φ_R, ψ_R). This means that Armstrong systems and Galois connections show us two faces of one thing.