Form equivalence class Howard-Rubin Number: 43

Statement:  If \(S\) is a relation on \(A\) such that\((\forall x \in A)( \exists y \in A)(x \mathrel S y)\) and \(x_0\) is anyelement of A, then there is a sequence \(a(1),a(2),\ldots \) ofelements of \(A\) such that \(a(n) \mathrel S a(n+1)\) for all\(n \in  \omega \) and such that \(a(0) = x_0\). Notes 101 and 54.

Howard-Rubin number: 43 S

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