Exercise
107
[1WM]Let \(f:A→ B\) be a function, let \(⪯\) an order relation on \(B\); consider the relation \(R\) between elements of \(A\) given by
\[ xRy\iff f(x)⪯ f(y)\quad ; \]
is it an order relation? What if we also assume that \(f\) is injective?