What is the law of hypothetical syllogism?

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What is the law of hypothetical syllogism?

The law of hypothetical syllogism states that if there are two conditional statements, where the antecedent of the first statement is the same as the consequent of the second statement, then we can infer a third conditional statement where the antecedent of the first statement is the antecedent of the third statement and the consequent of the second statement is the consequent of the third statement. In other words, if "If A, then B" and "If B, then C" are true, then we can conclude "If A, then C" is also true.