Difference between revisions of "Fundamental Theorem of Sato"
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The Fundamental Theorem of Sato states the following: | The Fundamental Theorem of Sato states the following: | ||
| − | Sato is amazing. | + | '''Sato is amazing.''' |
Proof: | Proof: | ||
| − | Method 1: Proof by | + | Method 1: Proof by Contradiction |
Assume, for contradiction, that Sato is not amazing. | Assume, for contradiction, that Sato is not amazing. | ||
| Line 17: | Line 17: | ||
Method 3: Proof by Pigeonhole | Method 3: Proof by Pigeonhole | ||
| − | There is only one Sato. By Pigeonhole, either Sato is amazing or he isn't. Fortunately, Sato cannot fit in a pigeonhole; hence, Sato is amazing. | + | 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) |
Latest revision as of 15:50, 28 January 2024
The Fundamental Theorem of Sato states the following:
Sato is amazing.
Proof:
Method 1: Proof by Contradiction
Assume, for contradiction, that Sato is not amazing.
This is absurd. Therefore, Sato is amazing. (Proved)
Method 2: Proof by Authority
Whatever AoPS says is correct, and AoPS says that Mr. Sato is amazing. Thus, Mr. Sato is amazing. (Proved)
Method 3: Proof by Pigeonhole
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)
