Implications

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We have the following indirect implication of form equivalence classes:

14 \(\Rightarrow\) 233 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
14 \(\Rightarrow\) 233	Algebraic closures without choice, Banaschewski, B. 1992, Z. Math. Logik Grundlagen Math.

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

Howard-Rubin Number	Statement
14:	BPI: Every Boolean algebra has a prime ideal.
233:	Artin-Schreier theorem: If a field has an algebraic closure it is unique up to isomorphism.

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