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 __   _    __   __   _    _     _____    __   __  
| || | ||  \ \\/ // | || | ||  |  ___||  \ \\/ // 
| '--' ||   \ ` //  | || | ||  | ||__     \   //  
| .--. ||    | ||   | \\_/ ||  | ||__     / . \\  
|_|| |_||    |_||    \____//   |_____||  /_//\_\\ 
`-`  `-`     `-`'     `---`    `-----`   `-`  --`

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Text this: Natural Partial Orders on Transformation Semigroups with Fixed Sets