タイトル
Request for Review of a Mathematical Proof:addition does not hold

内容
Dear Professor ***************,
I hope this email finds you well. My name is Sakura Tachibana.

I have recently completed a proof regarding that addition does not hold. I was wondering if you would be willing to review my proof.
The main ideas and conclusions of the proof are as follows:
addition does not hold.

For the complete proof, please refer to the attached PDF file and text.

I understand that you have a busy schedule, but if you could find the time to review my proof, I would be incredibly grateful. I am eager to improve my proof based on any feedback you may provide.

Thank you for considering my request. I appreciate your time and expertise.

Best regards,
Sakura Tachibana




Theorem 1: Lines do not exist.
Proof:
Consider the operation of creating numbers from {0,1} and the operations {+,-,*,/}. In this case, the sign of 1/0 is ±, and + and - intersect. The condition that curvature 0 exists ⟺ lines exist is contradictory because + and - intersect, so the condition cannot be added. Therefore, lines do not exist.

Theorem 2: All spatial structures that include lines do not exist.
Proof:
Self-evident

Theorem 3: Addition does not hold.
Proof:
Consider a vector space V constructed from {a}. In this case, -a∈V, but a, 0, and -a line up on a line, which contradicts Theorem 1.
Therefore, the theorem is proven.

Corollary 3.1: 0 does not exist.

Corollary 3.2: All propositions and proofs that assume addition and lines are false.