without loss of generality
Definitions
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.
Examples
“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 of them has the equation x²#43;y²#61;1.”
CEFR level
C2
Mastery
This word is part of the CEFR C2 vocabulary — mastery level.
This word is part of the CEFR C2 vocabulary — mastery level.
See also
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