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1 definition found
 for total ordering
From The Free On-line Dictionary of Computing (30 December 2018) :

  total ordering
      A relation R on a set A which is a partial
     ordering; i.e. it is reflexive (xRx), transitive (xRyRz =>
     xRz) and antisymmetric (xRyRx => x=y) and for any two elements
     x and y in A, either x R y or y R x.
     See also equivalence relation, well-ordered.

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