Form equivalence class Howard-Rubin Number: 118

Statement: If \((X,\le)\) is a linear order, then the family\(\{A(a,b): a, b\in X \land a< b\}\) has a choice function.  (\(A(a,b)\)denotes the set of continuous, order preserving functions from \(X\) into\([0,1]\) such that \(f(a)= 0\) and \(f(b) = 1\).)  Morillon [1988]and Note 71.

Howard-Rubin number: 118 M

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