PROOF STRUCTURE

      State theorem to be proved in symbolic form.

      Mark beginning with word "Proof:"

      Introduce initial variables and explain

        -      what kind of objects they are (i.e. which set they belong to)

        -      what other properties they have

      Proof body

        -      start from assumptions (i.e. what is already known)

        -      work step by step towards conclusion

        -      justify every step with either an assumption, a previously derived step, an axiom, an already proved theorem, or a valid argument form.

      Conclusion - Mark end with Q.E.D or Q or 

Use  template provided in .doc format or .pdf format