Is Lexicographic relation ordered?

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Is lexicographic order an ordered relation? if yes, why doesn't it seem to have the reflexive property? based on its definition(read the first $<,$ relates to): $(a,b)<(a',b') $if$ [(a < a')$ OR $((a=a')$ AND $(b < b'))],$ so what if we choose (a,b) and (a,b) to compare? it seems that they don't relate to each other! Am I getting it wrong?