If the light bulb has a fixed resistance you CANNOT keep the current constant while changing the voltage. If you increase the voltage, the current will also increase. The increase voltage AND current will cause increase in power.
Actually, this might not be a very good example, because this isn't true, especially in the case of a light bulb or any poor conductor. The resistance changes dramatically as the filament heats up. Maybe this is why he's getting confused.
EDIT
nevermind -- I missed the part where you said IF the lightbulb has a fixed resistance -- Sorry! ...And you're BOTH thin-skinned!
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