Generally, the first thing to do in proving a universal statement is to rephrase it as a conditional. The resulting statement is a Universal Conditional Statement or a UCS. The reason for taking this ...Generally, the first thing to do in proving a universal statement is to rephrase it as a conditional. The resulting statement is a Universal Conditional Statement or a UCS. The reason for taking this step is that the hypotheses will then be clear – they form the antecedent of the UCS. So, while you won’t have really made any progress in the proof by taking this advice, you will at least know what tools you have at hand.
