an electron is identical with another electron but it is not identical to even though all electrons share the same intrinsic properties, makes sense. :S

eˉ = eˉ and eˉ ◅ eˉ

a) eˉ is equal to eˉ and eˉ is a subgroup of eˉ

eˉ # ē

b) eˉ is not equal to all electrons

a⇔b

If a is true b is true if a is false then b is true and vise a versa.

Electrons are identical particles because they cannot be distinguished from each other by their intrinsic physical properties. In quantum mechanics, this means that a pair of interacting electrons must be able to swap positions without an observable change to the state of the system. The wave function of fermions, including electrons, is antisymmetric, meaning that it changes sign when two electrons are swapped; that is, ψ(r1, r2) = −ψ(r2, r1), where the variables r1 and r2 correspond to the first and second electrons, respectively. Since the absolute value is not changed by a sign swap, this corresponds to equal probabilities. Bosons, such as the photon, have symmetric wave functions instead.[80]:162-218

In the case of antisymmetry, solutions of the wave equation for interacting electrons result in a zero probability that each pair will occupy the same location or state. This is responsible for the Pauli exclusion principle, which precludes any two electrons from occupying the same quantum state. This principle explains many of the properties of electrons. For example, it causes groups of bound electrons to occupy different orbitals in an atom, rather than all overlapping each other in the same orbit

electron: wiki