Not the OP but this assertion is at very least a non-obvious as constructive proof requiring vast elaboration and at worst, obviously wrong on the surface with

Not the OP but this assertion is at very least a non-obvious as constructive proof requiring vast elaboration and at worst, obviously wrong on the surface with clear existential proof as mentioned by the OP [except for perhaps a idealized definition of the word "democracy" that does not resemble what you actually get on the ground when you implement it.]