Question about proof from a guy with a highschool education

AI Thread Summary
The discussion focuses on understanding mathematical proofs, particularly how to present them correctly. A user seeks to prove that if A + B = C, then A - B = C - 2B, and receives feedback on the importance of justifying each step and clearly stating axioms and lemmas. Participants emphasize that proofs should start from accepted assumptions and proceed logically, avoiding assumptions that are not proven. The conversation also touches on the common lack of proof-writing skills among high school and undergraduate students, highlighting the need for practice and guidance. Overall, the thread serves as a resource for beginners to improve their understanding of mathematical proofs.
  • #751
No need to bring any calculus or analysis into this CompuChip. The proof is pretty straight-forward without it. Just note that (2+ε)(2-ε) = 4-ε2 ≤ 4 (where -2 ≤ ε ≤ 2) to show that the quadratic is bounded above by 4 on the desired interval.
 
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  • #752
jgens said:
No need to bring any calculus or analysis into this CompuChip. The proof is pretty straight-forward without it. Just note that (2+ε)(2-ε) = 4-ε2 ≤ 4 (where -2 ≤ ε ≤ 2) to show that the quadratic is bounded above by 4 on the desired interval.

I'm not really sure what you're talking about at the end of your post but perhaps this is similar to what I attempted in my proof (see link in my post above)?
 
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