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We have the following indirect implication of form equivalence classes:

69 \(\Rightarrow\) 69 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
69 \(\Rightarrow\) 69	The Axiom of Choice, Jech, 1973b, page 13

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

Howard-Rubin Number	Statement
69:	Every field has an algebraic closure.  Jech [1973b], p 13.
69:	Every field has an algebraic closure.  Jech [1973b], p 13.

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