It's been proven.

Given:

Study = No Fail

No study = Fail

--------------------------------------------------

Study + No Study = Fail + No Fail

Study (1 + No ) = Fail (1 + No )

Study = Fail

HAHAHAHAHA!

And we now have thus proved that studying is indeed equivalent to failure. Applause please.

(NOTE: Credits for this mathematical piece of genius goes to an unnamed person who happened to scrawl it in one of the arm chairs in Nat Sci. All hail.

Warning: Do not try formula at home.)