Definition, Meaning & Synonyms

quod erat demonstrandum

phrase
/kwɒd ˈɛrɒt ˌdɛmənˈstrændʌm/
Definition
a Latin phrase meaning ‘which was to be demonstrated’.
Examples
  • After a lengthy proof, the mathematician concluded with ‘quod erat demonstrandum’.
  • The theory was validated, and she ended her presentation with the phrase ‘quod erat demonstrandum’.
Meaning
used at the end of a mathematical proof or philosophical argument to signify that the required proof has been completed.
Synonyms
  • Q.E.D.
  • Thus it has been demonstrated.