Implications

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We have the following indirect implication of form equivalence classes:

191 \(\Rightarrow\) 182 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
191 \(\Rightarrow\) 182	Injectivity, projectivity and the axiom of choice, Blass, A. 1979, Trans. Amer. Math. Soc. note-59

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

Howard-Rubin Number	Statement
191:	\(SVC\): There is a set \(S\) such that for every set \(a\), there is an ordinal \(\alpha\) and a function from \(S\times\alpha\) onto \(a\).
182:	There is an aleph whose cofinality is greater than \(\aleph_{0}\).

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