SCHWEITZER 1966 Problem 7

Does there exist a function $f(x,y)$ of two real variables that takes natural numbers as its values and for which $f(x,y)=f(y,z)$ implies $x=y=z?$

A. Hajnal

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.