Axiom Of Choice

We have the following indirect implication of form equivalence classes:

263 \(\Rightarrow\) 263 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
263 \(\Rightarrow\) 263

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

Howard-Rubin Number	Statement
263:	\(H(AS\&C,P)\): Every every relation \((X,R)\) which is antisymmetric and connected contains a \(\subseteq\)-maximal partially ordered subset.
263:	\(H(AS\&C,P)\): Every every relation \((X,R)\) which is antisymmetric and connected contains a \(\subseteq\)-maximal partially ordered subset.

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