Is Insulating a Roof Drain Pipe Necessary to Prevent Condensation?

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A roof drain leads to a pipe that lies horizontaly in the roof's insulation layer which in turn lies on top of a 26cm concrete slab. On top is the waterproof membrane. The area underneath the roof is room temperature. The question is this; is it necessary to insulate the pipe itself to prevent condensation? My idea is that in order for condensation to occour, the air around the pipe needs to move around, which it in this case will not as it is an enclosed space filled with insulation. Any thoughts?
 
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Why worry about condensation in a pipe? Or is it condensation outside the pipe?

We need to know more about temperatures to answer your question. Can it freeze? Is the water warmer or colder than the surroundings?