Are Democracy and economic equality fundamentally incompatible?

[ExistentialNihilist]

A resounding "no" and it's quite trivial to establish its proof.

1. Democracy allows for any economic system.
2. State Socialism is an economic system.
3. State Socialism allows for economic equality.
4. State Socialism is compatible with Democracy (1 & 2)
5. Economic equality is not incompatible with Democracy. (3 & 4)