Use precise notation consistently
Define every symbol before using it
Keep expressions simple and readable
Prefer standard mathematical conventions
Maintain consistent variable names and fonts
Separate assumptions, claims, and proofs clearly
Write equations in aligned form when needed
Use punctuation properly in mathematical sentences
Avoid ambiguous notation
State domains, conditions, and constraints explicitly
Choose notation that matches the context
Use words to connect logical steps
Keep proofs concise and structured
Group related ideas together
Distinguish between similar symbols carefully
Format displayed equations cleanly
Use parentheses and brackets to clarify structure
Avoid unnecessary repetition
Ensure every statement follows logically
Check for consistency throughout the text
Revise for clarity, precision, and elegance