Doubt about Lang's "Elliptic Curves Diophantine Analysis"

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I am trying to understand Theorem VII.3.4 of AEC without using formal groups. I am reading then Chapter III.1 in Elliptic Curves Diophantine Analysis by Lang. In the proof of theorem 1.3 he says that $t(P)\mid t(p^{m-1}P)$ and I don't understand why. Can you help me?