Implications

We have the following indirect implication of form equivalence classes:

178-n-N \(\Rightarrow\) 0
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
178-n-N \(\Rightarrow\) 0

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number Statement
178-n-N:

If  \(n\in\omega\), \(n\ge 2\) and \(N \subseteq \{ 1, 2, \ldots , n-1 \}\), \(N \neq\emptyset\), \(MC(\infty,n, N)\):  If \(X\) is any set of \(n\)-element sets then  there is  a function \(f\) with domain \(X\) such that for all \(A\in X\), \(f(A)\subseteq A\) and \(|f(A)|\in N\).

0:  \(0 = 0\).

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