Satoshi Math mistake?

On page 7, where Satoshi shows the Poisson distribution, the probability that the attacker can reach and find a malicious node and reduce the gap by -1.

He has the Poisson formula, multiplied by each attacker's progress, where there is a split function. If k Z in this case.

Shouldn't it be something like, the first case IF K < Z , and the second case be K >= Z ?

submitted by /u/hackeloff1337 to r/Bitcoin
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Quelle: bitcoin-en