###
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?