Proofs involving the Moore–Penrose inverse
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Proof most often refers to: * Proof (truth), argument or sufficient evidence for the truth of a proposition *
Alcohol proof Alcohol proof (usually termed simply "proof" in relation to a beverage) is a measure of the content of ethanol (alcohol) in an alcoholic beverage. The term was originally used in England and was equal to about 1.8 times the percentage of alcohol ...
, a measure of an alcoholic drink's strength Proof may also refer to:


Mathematics and formal logic

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Formal proof In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the seq ...
, a construct in proof theory *
Mathematical proof A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proo ...
, a convincing demonstration that some mathematical statement is necessarily true * Proof complexity, computational resources required to prove statements * Proof procedure, method for producing proofs in proof theory * Proof theory, a branch of mathematical logic that represents proofs as formal mathematical objects * Statistical proof, demonstration of degree of certainty for a hypothesis


Law and philosophy

* Evidence, information which tends to determine or demonstrate the truth of a proposition * Evidence (law), tested evidence or a legal proof *
Legal burden of proof In a legal dispute, one party has the burden of proof to show that they are correct, while the other party had no such burden and is presumed to be correct. The burden of proof requires a party to produce evidence to establish the truth of facts ...
, duty to establish the truth of facts in a trial *
Philosophic burden of proof The burden of proof (Latin: ''onus probandi'', shortened from ''Onus probandi incumbit ei qui dicit, non ei qui negat'') is the obligation on a party in a dispute to provide sufficient warrant for its position. Holder of the burden When two par ...
, obligation on a party in a dispute to provide sufficient warrant for their position


Manufacturing and printing

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Artist's proof An artist's proof is an impression of a print taken in the printmaking process to see the current printing state of a plate while the plate (or stone, or woodblock) is being worked on by the artist. A proof may show a clearly incomplete image, ofte ...
, a single print taken during the printmaking process * Galley proof, a preliminary version of a publication * Prepress proof, a facsimile of press artwork for job verification *
Proof coinage Proof coinage refers to special early samples of a coin issue, historically made for checking the dies (as in demonstrating that something is true) and for archival purposes. Nowadays proofs are often struck in greater numbers specially for co ...
, coins once made as a test, but now specially struck for collectors *
Proof of concept Proof of concept (POC or PoC), also known as proof of principle, is a realization of a certain method or idea in order to demonstrate its feasibility, or a demonstration in principle with the aim of verifying that some concept or theory has prac ...
, demonstration that a concept has practical potential * Proof test, stress test of structures such as vessels and weapons * Proofreading, reviewing a manuscript for errors or improvements


People

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Proof (rapper) DeShaun Dupree Holton (October 2, 1973 – April 11, 2006), known professionally as Proof, was an American rapper from Detroit, Michigan. During his career, he was a member of the groups 5 Elementz, Funky Cowboys, Promatic, Goon Sqwad, and D12 ...
(1973–2006), American rapper and member of D12 * Sam Proof (born 1974), U.S. actor


Places

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Proof School Proof School is a secondary school in San Francisco that offers a mathematics-focused liberal arts education. Currently, 118 students in grades 6–12 are enrolled in Proof School for the academic year (2022-2023). The school was co-founded by Den ...
, San Francisco, California, USA; a secondary school


Arts and entertainment and media


Film, television, and theatre

* ''Proof'' (play), a 2000 play by David Auburn


Film

* ''Proof'', a 1980 student film by Kevin Reynolds, expanded to ''
Fandango Fandango is a lively partner dance originating from Portugal and Spain, usually in triple meter, traditionally accompanied by guitars, castanets, or hand-clapping. Fandango can both be sung and danced. Sung fandango is usually bipartite: it has ...
'' * ''Proof'' (1991 film), an Australian film by Jocelyn Moorhouse * ''Proof'' (2005 film), a film by John Madden, based on the 2000 play by David Auburn


Television

* ''Proof'' (2004 TV series), an Irish drama/thriller * ''Proof'' (2015 TV series), an American medical/supernatural drama * "Proof" (''Devious Maids''), a television episode


Literature

* ''Proof'' (comics), a comic series from Image Comics * "Proof", a 1942 science fiction short story by
Hal Clement Harry Clement Stubbs (May 30, 1922 – October 29, 2003), better known by the pen name Hal Clement, was an American science fiction writer and a leader of the hard science fiction subgenre. He also painted astronomically oriented artworks under ...
* '' PROOF!'', a magazine published by Lynne McTaggart


Music


Albums and records

* ''Proof'', an album by
Emily Elbert Emily Elbert (born December 21, 1988) is an American singer-songwriter and guitarist based in Los Angeles, California. She has independently released six albums: ''Bright Side'' (2006), ''Proof'' (2010), and ''Alive, In Love'' (2011), ''Evolve'' ...
, 2010 * ''Proof'', an EP by Colour Coding, 2012 * ''Proof'' (album), an anthology album by BTS, 2022


Songs and singles

* "Proof" (I Am Kloot song), 2003 * "Proof" (Paul Simon song), 1991 * "Proof"/"No Vain", a single by Mell, 2007 * "Proof", a song by Angela, 2004 * "Proof", a song by Chris Brown from '' Royalty'', 2015 * "Proof", a song by Coldplay, a B-side of the single " Speed of Sound", 2005 * "Proof", a song by Happy Rhodes from ''
Many Worlds Are Born Tonight ''Many Worlds Are Born Tonight'' (1998) is the tenth album by American singer-songwriter Happy Rhodes. Overview Rhodes' first album on a larger independent label (Samson Music), leading to the All-Music Guide reviewer mistakenly describing this ...
'', 1998 * "Proof", a song by Paramore from '' Paramore'', 2013


See also

* Proofing (disambiguation) * Provability (disambiguation) * Homeopathic proving, a homeopathic procedure * * Proof Positive (disambiguation) * Living Proof (disambiguation) * Fool proof (disambiguation) * 100 Proof (disambiguation) {{disambiguation