component in the product functioning or not. true or false?
You are attempting to characterize interdependence. Logically, something is independent if it has no dependency on any other component in the product functioning AND SEPARATELY no other component in the product can cause it to function or not. You describe the first component, but not the second. Example - An IPOD plugged into the cigarette lighter of the car (and pretend that it has no internal batteries). There is nothing that can be entered into the ipod that will change how the car works (car is the potentially independent component), however, if the car fuse blows, the IPOD turns off. This certainly violates the hypothesis that the car is independent.