Before we proceed further, we will discuss some frequently used mathematical terms. A definition is an agreement that a particular word or phrase will stand for some object, property, or …

A direct proof of a proposition in mathematics is often a demonstration that the proposition follows logically from certain definitions and previously proven propositions. A proof in mathematics is a convincing argument that some mathematical statement is true. In Section 1.2, we introduced the idea of a direct proof.

Since then, we have used some common terminology in mathematics without much explanation.

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