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A Proof

  1. (countable) An effort, process, or operation designed to establish or discover a fact or truth; an act of testing; a test; a trial.
  2. (uncountable) The degree of evidence which convinces the mind of any truth or fact, and produces belief; a test by facts or arguments which induce, or tend to induce, certainty of the judgment; conclusive evidence; demonstration.
  3. The quality or state of having been proved or tried; firmness or hardness which resists impression, or does not yield to force; impenetrability of physical bodies.
  4. (obsolete) Experience of something.
  5. (uncountable, obsolete) Firmness of mind; stability not to be shaken.
  6. (countable, printing) A proof sheet; a trial impression, as from type, taken for correction or examination.
  7. (countable, logic, mathematics) A sequence of statements consisting of axioms, assumptions, statements already demonstrated in another proof, and statements that logically follow from previous statements in the sequence, and which concludes with a statement that is the object of the proof.
  8. (countable, mathematics) A process for testing the accuracy of an operation performed. Compare prove, transitive verb, 5.
  9. (obsolete) Armour of excellent or tried quality, and deemed impenetrable; properly, armour of proof.
  10. (US) A measure of the alcohol content of liquor. Originally, in Britain, 100 proof was defined as 57.1% by volume (no longer used). In the US, 100 proof means that the alcohol content is 50% of the total volume of the liquid; thus, absolute alcohol would be 200 proof.