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| − | The Fundamental Theorem of Sato states the following:
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| − | Sato is amazing.
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| − | Proof:
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| − | Method 1: Proof by Contradiciton
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| − | Assume, for contradiction, that Sato is not amazing.
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| − | This is absurd. Therefore, Sato is amazing. (Proved)
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| − | Method 2: Proof by Authority
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| − | Whatever AoPS says is correct, and AoPS says that Mr. Sato is amazing. Thus, Mr. Sato is amazing. (Proved)
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| − | Method 3: Proof by Pigeonhole
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| − | There is only one Sato. By Pigeonhole, either Sato is amazing or he isn't (in this case, Sato goes in the unamazing pigeonhole). Fortunately, Sato cannot fit in a pigeonhole; hence, Sato is amazing. (Proved)
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