We have the following indirect implication of form equivalence classes:

189 \(\Rightarrow\) 190
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
189 \(\Rightarrow\) 190 Injectivity, projectivity and the axiom of choice, Blass, A. 1979, Trans. Amer. Math. Soc.

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

Howard-Rubin Number Statement
189:

\(EI\ Ab\): For every Abelian group \(A\) there is an injective Abelian group \(G\) and a one to one homomorphism from \(A\) into \(G\).

190:

There is a non-trivial injective Abelian group.

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