See also: total-order

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total order ‎(plural total orders)

  1. (set theory) A relation that is reflexive, antisymmetric, and transitive (i.e., that is a partial order), and having the property that for any two elements of its set, one is related to the other.
    If → is the material implication for a propositional logic  , and   has logical equivalence ↔ (an equivalence relation), then → is a total order for the quotient  .

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