Form equivalence class Howard-Rubin Number: 0

Statement:

For all partially ordered sets \((X,\le)\), if there is a \(\sup\) function \(\sigma\) on the well ordered subsets of \(X\) then every \(f: X\rightarrow X\) satisfying \(\forall t \in X\), \(t\le f(t)\) has a fixed point.

Howard-Rubin number: 0 K

Citations (articles): Manka [1998a] Some forms of the axiom of choice

Connections (notes): Note [38] Definitions from Manka [1988a] and Manka [1988b]

References (books):

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