Axiom Of Choice

We have the following indirect implication of form equivalence classes:

240 \(\Rightarrow\) 240 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
240 \(\Rightarrow\) 240

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

Howard-Rubin Number	Statement
240:	If a group \(G\) satisfies "every ascending chain of subgroups is finite", then every subgroup of \(G\) is finitely generated.
240:	If a group \(G\) satisfies "every ascending chain of subgroups is finite", then every subgroup of \(G\) is finitely generated.

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