Definition of irreflexive in English:

irreflexive

adjective

Logic
  • Denoting a relation which never holds between a term and itself.

    • ‘A relation on a set is irreflexive provided that no element is related to itself.’
    • ‘A strict order is one that is irreflexive and transitive; such an order is also trivially antisymmetric.’
    • ‘Since this cannot be true, the statement x not-R x must be true; therefore R is irreflexive.’
    • ‘G is an irreflexive, asymmetric and transitive relation.’
    • ‘But it is not irreflexive either, since 1 is related to itself.’

Pronunciation:

irreflexive

/ɪrɪˈflɛksɪv/