In each of the following problems you are given a statement that is implicitly an "if-then" statement Treat each of them as a proposition to be proven, and write down what is given (the "if" part) and what is to be proven (the "then" part). Also, state the converse of each proposition, and decide whether it is valid for each case. Chinese Proverb: Success can be achieved only by hard work. (Warning: To obtain the correct if-then statement, the usage of the word "only" must be carefully considered.)
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