Form equivalence class Howard-Rubin Number: 43

Statement: If \((X,\rho)\) is a complete metric space and \(\phi:X\rightarrow {\Bbb R}\) is bounded above and upper semi-continuous then inthe Br\o ndsted ordering, (\(x\le y\) iff \(\rho(x,y)\le\phi(y)-\phi(x)\)),there is a  maximal element.  Brunner [1987a] and Note 38.

Howard-Rubin number: 43 M

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