Form equivalence class Howard-Rubin Number: 14
Statement: Let \(\{ A(i): i\in I\}\) be a collection of finite setsand \(R\) a symmetric binary relation on \(\bigcup^{}_{i\in I}A(i)\). Supposethat for every finite \(W\subseteq I\), there is an \(R\)-consistent choicefunction for \(\{A(i): i\in W\}\). Then there is an \(R\)-consistent choicefunction for \(\{A(i): i\in I\}\). \L o\'s/Ryll-Nardzewski [1951]and Note 109.
Howard-Rubin number: 14 O
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