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No. This means only the condition can be violated, not the inequality itself.It can be violated by a theory in which ##P(\vec a,\vec b)## isn't of the form as given by equation (2). This is the case for QM.

Triangle has 3 sides - yes?

This means: triangle with 4 sides is imposible.

And the QM reasoning - logics work in this way:

the square is a triangle with 4 sides; so, this fact breaks the reality;

and we are very naive beings, because we always believe it's impossible. :)