q e d

Q.E.D.

which was to be shown or demonstrated (used especially in mathematical proofs).

Origin:
1810–20; < Latin quod erat dēmōnstrandum

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Based on the Random House Dictionary, © Random House, Inc. 2014.
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Etymonline
Word Origin & History

Q.E.D.
1760, abbrev. of L. quod erat demonstrandum "which was to be demonstrated."
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Abbreviations & Acronyms
Q.E.D.
Latin quod erat demonstrandum (which was to be demonstrated)
The American Heritage® Abbreviations Dictionary, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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