Implications

We have the following indirect implication of form equivalence classes:

324 \(\Rightarrow\) 324
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
324 \(\Rightarrow\) 324

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

Howard-Rubin Number Statement
324:

\(KW(WO,WO)\), The Kinna-Wagner Selection Principle for a well ordered family of well orderable sets: For every well ordered set \(M\) of well orderable sets, there is a function \(f\) such that for all \(A\in M\), if \(|A| > 1\) then \(\emptyset\neq f(A)\subsetneq A\). (See Form 15.)

324:

\(KW(WO,WO)\), The Kinna-Wagner Selection Principle for a well ordered family of well orderable sets: For every well ordered set \(M\) of well orderable sets, there is a function \(f\) such that for all \(A\in M\), if \(|A| > 1\) then \(\emptyset\neq f(A)\subsetneq A\). (See Form 15.)

Comment:

Back