Rex PM has quite a few Tasks including Property Compliance.
These Tasks are created for you automatically, based on the Compliance you have added to the Property Record.
You can find more information about Property Compliance Settings here - Property Compliance Settings
Manage Property Compliance Task
A Property Compliance Task can have one of three statuses, Not Started, In Progress, or Completed.
To quickly update the progress of your Task you can click the drop-down in the Progress column and select the new progress status from the drop-down.