where This exact formula represents the much-needed relation between the electron density and the electric field from the nuclei in every point of a system 𝛆(𝐫), very much in the spirit of the analysis by Bader. The clear mathematical form of this gradient theorem and the unveiled equivalence between the use of the linear response function 𝜔(𝐫, 𝐫 ′ ) and the softness kernel 𝑠(𝐫, 𝐫 ′ ); the nonlocal electronic response functions. Eq. 1 has opened a way to exploration of its further consequences. We combined it with another cDFT axiomthe nearsightedness of matter, that can be applied to 𝑠(𝐫, 𝐫 ′ ) (as proposed by Vela and Gázquez ), but not to 𝜔(𝐫, 𝐫 ′ ) . This resulted with the new Ansatz of great potential utility (albeit no longer exact) allowing for calculation of the local softness: