irreflexive

adjective
ir·re·flex·ive | \ˌir-i-ˈflek-siv \

Definition of irreflexive 

: being a relation for which the reflexive property does not hold for any element of a given set

First Known Use of irreflexive

circa 1890, in the meaning defined above

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The first known use of irreflexive was circa 1890

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