at a given $s$, of distance $r/r_M$ at given $E$ and $s$, of the angle $\varphi$ at given $r/r_M$, $E$ and $s$, and of $\theta$ at given $\varphi$, $r/r_M$, $E$, and $s$. As it has been described above, the universality of the electron energy spectra and lateral distributions for various energies was already proven. It is seen from Eq. 3 that to prove the universality of *any* electron distribution, represented by $f(\theta,\varphi, r/r_M, E;s)$, it is left to demonstrate that each of the functions $f_{\varphi}(\varphi;r/r_M,E,s)$ and $f_{\theta}(\theta;\varphi,r/r_M,E,s)$ are universal.\
To obtain the electron distributions we simulated showers with CORSIKA [@cors], version 7.4 with QGSJET-II model for high- energy interactions. As an atmospheric model was used The US Standard Atmosphere. However, as it will be claimed, our conclusions do not depend on the above choices.\
CORSIKA is a much elaborated computer code for simulating the development of the air showers in the atmosphere. Choosing the primary particle, its energy and the incidence angle in the atmosphere it follows all the produced secondary particles (hadrons, muons, electrons, photons and neutrinos) and their interactions. Of course, for hadrons a high energy interaction model has to be adopted. The most abundant particles in a 