Why do electric field lines cannot cross?

Electric field 'lines' were invented by people, to have a visualization of the electric field.  We draw 'lines' to show the direction of the force that a tiny test charge would feel if it were at any point in the field, and the direction it would move from there.  If 'lines' crossed, then there would be a point in the field where a tiny test charge would feel a force in two different directions, and it would have a choice of which way to go from there.  That doesn't happen.

They cannot cross because they have different values. Each line has its own value and if they could cross, that would mean that we can have 2 different values at the same point (and it cannot be true).