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Let be an algebraic family of Drinfeld modules defined over a field of characteristic , and let . Assume that neither nor is a torsion point for for all . If there exist infinitely many such that both and are torsion points for , then we show that for each , we have that is torsion for if and only if is torsion for . In the case , then we prove in addition that and must be -linearly dependent.

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