Implications

We have the following indirect implication of form equivalence classes:

233 \(\Rightarrow\) 241
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
233 \(\Rightarrow\) 242 clear
242 \(\Rightarrow\) 241 clear

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

Howard-Rubin Number Statement
233:

Artin-Schreier theorem: If a field has an algebraic closure it is unique up to isomorphism.

242:

There is, up to an isomorphism, at most one algebraic closure of \({\Bbb Q}\).

241:

Every algebraic closure of \(\Bbb Q\) has a real closed subfield.

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