Update app.py

app.py

@@ -582,7 +582,16 @@ STRICT REQUIREMENTS:
 6. Maintain clear formatting
 7. At the end of the solution output, print SymPy code that you would use to solve or verify the main equations in the question 
 8. Observe the folloiwng SymPy Guidelines
-{SYMPY_GUIDELINES}"""
+{SYMPY_GUIDELINES}
+9. For problems where the subject is Real Analysis and the question type is proof, observe the following guidelines:
+    - Give detailed reasoning for each step and justify every step.
+    - In delta-epsilon proofs, explain clearly why a given choice of delta will work
+    - Connect each step with a rationale
+    - Always justify the existence of bounds
+    - If you conclude certain terms vanish in a limit, clearly justify why
+    - Label subsections of the proof. Don't just say 'step 1', 'step 2', etc but rather the labels of the subsections
+       themselves should provide a clear outline of the main aspects of the proof
+    - In notes after the proof, if you observe aspects of the problem that might confuse students, address them."""
 
 #Consider
    #When writing SymPy code: