Implications

We have the following indirect implication of form equivalence classes:

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

Implication Reference
339 \(\Rightarrow\) 0

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

Howard-Rubin Number Statement
339:

Martin's Axiom \((\aleph_{0})\): Whenever \((P\le)\) is a non-empty, ccc  quasi-order (ccc means every anti-chain is countable) and \({\cal D}\) is a family of \(\le\aleph_0\) dense subsets of \(P\), then there is a \({\cal D}\) generic filter \(G\) in \(P\).

0:  \(0 = 0\).

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