Difference between revisions of "Fundamental Theorem of Sato"

m
Line 14: Line 14:
  
 
Whatever AoPS says is correct, and AoPS says that Mr. Sato is amazing. Thus, Mr. Sato is amazing. (Proved)
 
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. Fortunately, Sato cannot fit in a pigeonhole; hence, Sato is amazing.

Revision as of 19:28, 23 April 2019

The Fundamental Theorem of Sato states the following:

Sato is amazing.

Proof:

Method 1: Proof by Contradiciton

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. Fortunately, Sato cannot fit in a pigeonhole; hence, Sato is amazing.