# How does the Dirac equation show the existence of anti-particles?

I want to understand the following

"The Dirac equation for a charged massive fermion predicts, correctly, the existence of an antiparticle of the same mass and spin, but opposite charge, and opposite magnetic moment relative to the direction of the spin. The Dirac equation for a neutrino ν allows the existence of an antineutrino ¯ν." .

can somebody write the mathematics of it?