Light A and light B are always in opposite on-off states to each other. Light C is always opposite light A. Light D is only on if both light A and light C are on - otherwise it is off. What can be said about these four lights?

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Light A and light B are always in opposite on-off states to each other. Light C is always opposite light A. Light D is only on if both light A and light C are on - otherwise it is off. What can be said about these four lights?