The Sorted(L) function returns the value true if list L is sorted according to certain conditions; otherwise, false is returned.

If list L is a list of numeric values, then the elements of L are tested as to whether they are in ascending order.

If L is a list of strings or symbols, the elements of L are tested as to whether they are in lexicographical order.

Otherwise, Sorted(L) tests whether the elements in list L are in address order.

If the optional argument f is specified as either `<` or `>`, the list must contain numeric values and the elements of the list are tested as to whether they are in ascending or descending order, respectively. Otherwise, the expression $f\left(x\&comma;y\&comma;\mathrm{opts}\right)$ is evaluated to determine whether element x precedes element y, where x and y are consecutive elements in list L.

$\mathrm{with}\left(\mathrm{ListTools}\right)\&colon;$

$L≔\left[''William''\&comma;''Henry''\&comma;''George''\&comma;''Edward''\right]$

$L≔\left[''William''\&comma;''Henry''\&comma;''George''\&comma;''Edward''\right]$

$\mathrm{Sorted}\left(L\right)$

$\mathrm{false}$

$\mathrm{Sorted}\left(\mathrm{sort}\left(L\&comma;\mathrm{lexorder}\right)\right)$

$\mathrm{true}$

$L≔\left[-0.984\&comma;-0.733\&comma;-0.254\&comma;0.305\&comma;0.768\&comma;0.992\&comma;0.906\&comma;0.537\&comma;0.\&comma;-0.537\&comma;-0.906\right]$

$L≔\left[\mathrm{-0.984}\&comma;\mathrm{-0.733}\&comma;\mathrm{-0.254}\&comma;0.305\&comma;0.768\&comma;0.992\&comma;0.906\&comma;0.537\&comma;0.\&comma;\mathrm{-0.537}\&comma;\mathrm{-0.906}\right]$

$\mathrm{Sorted}\left(L\right)$

$\mathrm{false}$

$\mathrm{Sorted}\left(\mathrm{sort}\left(L\right)\&comma;\mathrm{`>`}\right)$

$\mathrm{false}$

$\mathrm{Sorted}\left(\mathrm{sort}\left(L\&comma;\mathrm{`>`}\right)\&comma;\mathrm{`>`}\right)$

$\mathrm{true}$

$\mathrm{Sorted}\left(\left[\mathrm{seq}\left(\exp \left(i\right)\&comma;i=-10..10\right)\right]\&comma;\mathrm{verify}\&comma;\mathrm{less\_than}\right)$

$\mathrm{true}$

$\mathrm{Sorted}\left(\left[\mathrm{seq}\left(\sin \left(i\right)\&comma;i=-10..10\right)\right]\&comma;\mathrm{verify}\&comma;\mathrm{less\_than}\right)$

$\mathrm{false}$