To remove entirely, at the owner's word. Bound in this house by the purge law: when deletion is asked, it is complete — and it is never asked lightly.
Latin delere (to destroy, blot out), likely from de- (away) + linere (to smear, daub), the sense of wiping a wax tablet clean; to remove entirely, at the owner's word, and to leave nothing where the thing once stood.
The image underneath is a wax tablet wiped smooth, not a page torn out — deletion was first about a surface returned to blank, with nothing left to read even where the marks used to be. What this house completes when asked leaves that same clean surface behind.