English Alternative forms non-proof Etymology From non- + proof. Noun nonproof (plural nonproofs) A failure to prove something; the absence of a proof Here is another nonproof of the existence of God. 2009 January 19, Kenneth Chang, “John R. Stallings Jr., 73, California Mathematician, Is Dead”, in New York Times:In his 1965 paper about his nonproof of the Poincaré Conjecture […] Dr. Stallings ended on a musing note:Remove adsWikiwand - on Seamless Wikipedia browsing. On steroids.Remove ads