Art of Problem Solving

Fundamental Theorem of Sato: Difference between revisions

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Proof:  
Proof:  
Method 1: Proof by Contradiciton


Assume, for contradiction, that Sato is not amazing.  
Assume, for contradiction, that Sato is not amazing.  


This is absurd. Therefore, Sato is 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)
(Proved)

Revision as of 13:06, 3 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)