WLOG means "without loss of generality". Originally from mathematics; a proof by division into cases may say something like "assume, without loss of generality,

WLOG means "without loss of generality". Originally from mathematics; a proof by division into cases may say something like "assume, without loss of generality, that X is even ..."; WLOG flags a statement that applies just as well to other cases with obvious analogous changes. As generalized to non-mathematical writing, WLOG means "I could make an obvious analogous statement here about similar things for similar reasons".