Implications

We have the following indirect implication of form equivalence classes:

376 \(\Rightarrow\) 376
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
376 \(\Rightarrow\) 376

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

Howard-Rubin Number Statement
376:

Restricted Kinna Wagner Principle:  For every infinite set \(X\) there is an infinite subset \(Y\) of \(X\) and a function \(f\) such that for every \(z\subseteq Y\), if \(|z| \ge 2\) then \(f(z)\) is a non-empty proper subset of \(z\).

376:

Restricted Kinna Wagner Principle:  For every infinite set \(X\) there is an infinite subset \(Y\) of \(X\) and a function \(f\) such that for every \(z\subseteq Y\), if \(|z| \ge 2\) then \(f(z)\) is a non-empty proper subset of \(z\).

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