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  ____       ___     _    _      ___              
 |  _ \\    / _ \\  | || | ||   / _ \\    ____    
 | |_| ||  / //\ \\ | || | ||  | / \ ||  |    \\  
 | .  //  |  ___  ||| \\_/ ||  | \_/ ||  | [] ||  
 |_|\_\\  |_||  |_|| \____//    \___//   |  __//  
 `-` --`  `-`   `-`   `---`     `---`    |_|`-`   
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Text this: Probability measure functors preserving the regular property