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|This essay contains the advice or opinions of one or more Wikipedia contributors on Wikipedia:Deletion policy. Essays are not Wikipedia policies or guidelines. Some essays represent widespread norms; others only represent minority viewpoints.|
|This page in a nutshell: Calling an editor a liar is not a valid argument in AfD discussions (or anywhere else, for that matter).|
Simply calling another editor a "liar" (which is a personal attack) or even stating that the editor is incorrect is not a reason to keep or delete any article on Wikipedia. If the editor is incorrectly quoting, misapplying information, misinterpreting data, or otherwise simply misinformed, a useful response is to provide a reference to the correct information.
If an editor makes a statement and holds it out as a fact without proper sourcing, it is more than fair to ask for sources. At the same time, it is best to always assume good faith among your fellow editors.