What is the first step to indirectly proving a statement?

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2026-07-24 01:06

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The first step to indirectly proving a statement, often through proof by contradiction, is to assume the opposite of what you want to prove. This means you begin by assuming that the statement is false. From this assumption, you then derive logical consequences, aiming to reach a contradiction or an impossible scenario. If a contradiction is found, it indicates that the original statement must be true.

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