Question: Consider the set D = (0, 1, ..., 9) * of all strings of digits. Define the binary relation on D by u vif

Consider the set D = (0, 1,..., 9) * of all strings of digits. Define the binary relation on D by u vif and

Consider the set D = (0, 1, ..., 9) * of all strings of digits. Define the binary relation on D by u vif and only if u is a prefix of v. For example 0061424 0061424535535. Just to be clear, we also include any string as a prefix of itself. Prove that (D, S) is a partial order.

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