Axiom Of Choice

We have the following indirect implication of form equivalence classes:

308-p \(\Rightarrow\) 308-p given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
308-p \(\Rightarrow\) 308-p

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

Howard-Rubin Number	Statement
308-p:	If \(p\) is a prime and if \(\{G_y: y\in Y\}\) is a set of finite groups, then the weak direct product \(\prod_{y\in Y}G_y\) has a maximal \(p\)-subgroup.
308-p:	If \(p\) is a prime and if \(\{G_y: y\in Y\}\) is a set of finite groups, then the weak direct product \(\prod_{y\in Y}G_y\) has a maximal \(p\)-subgroup.

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