without loss of generality
Definition from Wiktionary, the free dictionary
English[edit]
Adverb[edit]
 (mathematics) With a constraining assumption that, however, makes it clear how to apply the proof performed under this assumption to the general case unconstrained by the assumption.
 We wish to prove two ellipses in the plane intersect in an even number of points or are tangent. Without loss of generality, assume one has the equation .
Translations[edit]
without loss of generality

