### Dr. Sarah's Proof-Writing Checklist for MATH 3110

This list will be used to grade your assignment.

### Proof Introduction

• Are the hypotheses clearly stated?
• Is the goal of the proof clearly stated?
• Is the goal of the proof clearly reworded using definitions?

### Body of the Proof

• Are all of the hypotheses clearly reworded using definitions?
• Does the proof use the hypotheses correctly?
• Does the proof give evidence of deep mathematical understanding of the problem and its solution?
• Is the proof as brief and elegant as possible?
• Does the proof make logical sense?
• Is the proof correct?
• Does this proof prove the general case?

### From One Step to the Next

• Does each step follow logically from the previous step?
• Is the connection between steps clearly explained?

### Terminology

• Are all variables, terminology, and notation that are used in the proof clearly defined?
• Do all variables, terminology, and notation represent the general case (avoid hidden assumptions)?

### When Using a Theorem from Class or from the Textbook...

• Is the theorem clearly stated and is acknowledgement given?

• Are all of the hypotheses of the theorem satisfied?
• ### Conclusion

• Does the proof have the correct conclusion?
• Is the conclusion clearly restated at the end?

#### In a proof by contradiction...

• Is the contradiction hypothesis correct?

• Is the contradiction clearly explained?