lexicographic order

lexicographic order
a) Formally, given two partially ordered sets A and B, the order ≤ on the Cartesian product A × B such that (a,b) ≤ (a′,b′) if and only if a < a′ or (a = a′ and b ≤ b′).
b) Given sets (A, A, ..., A) and their total orderings (<, <, ..., <), the order < of A × A × ... × A such that (a, a, ..., a) < (b,b, ..., b) iff (∃m > 0) (∀ i < m) (a = b ) and (a < b )

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