End of a proof, for short

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QED.

Last seen on: NY Times Crossword 10 Jun 20, Wednesday

Random information on the term “QED”:

Q.E.D. or QED (sometimes italicized) is an initialism of the Latin phrase “quod erat demonstrandum”, literally meaning “what was to be shown”. Traditionally, the abbreviation is placed at the end of a mathematical proof or philosophical argument in print publications to indicate that the proof or the argument is complete, and hence is used with the meaning “thus it has been demonstrated”.

The phrase quod erat demonstrandum is a translation into Latin from the Greek ὅπερ ἔδει δεῖξαι (hoper edei deixai; abbreviated as ΟΕΔ). Translating from the Latin phrase into English yields “what was to be demonstrated”. However, translating the Greek phrase ὅπερ ἔδει δεῖξαι can produce a slightly different meaning. In particular, since the verb “δείκνυμι” also means to show or to prove, a different translation from the Greek phrase would read “The very thing it was required to have shown.”

The Greek phrase was used by many early Greek mathematicians, including Euclid and Archimedes. The translated Latin phrase (and its associated acronym) was subsequently used by many post-Renaissance mathematicians and philosophers, including Galileo, Spinoza, Isaac Barrow and Isaac Newton.

QED on Wikipedia