Implications

We have the following indirect implication of form equivalence classes:

358 \(\Rightarrow\) 288-n
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
358 \(\Rightarrow\) 288-n clear

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

Howard-Rubin Number Statement
358:

\(KW(\aleph_0,<\aleph_0)\), The Kinna-Wagner Selection Principle for a denumerable family of finite sets: For every denumerable set \(M\) of finite sets there is a function \(f\) such that for all \(A\in M\), if \(|A| > 1\) then \(\emptyset\neq f(A)\subsetneq A\).

288-n:

If \(n\in\omega-\{0,1\}\), \(C(\aleph_0,n)\): Every denumerable set of \(n\)-element sets has a choice function.

Comment:

Back