Hi,

I'm blocked at the following (strange) situation:

I have an infinite set of integers (num) in which each integer n
satisfies a property P(n):

∃N. INFINITE N ∧ ∀n. n ∈ N ⇒ P n

Suppose above proposition is NOT true, how can I derive that, there must
exist a number m such that for all n >= m, P(n) does NOT hold? i.e.

?m. !n. m <= n ==> ~(P n)

Thanks in advance,

Chun Tian

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