Applicable Mathematics and Informatics


Home
Syllabus
Assignments

Instructor


Session 6

Using basic theorem proof skeletons to explain proof strategy.

Implications, proofs by contradiction, proofs by parts, equivalence - to be added (TBA)


What to do

  1. Consider how to sketch the proof skeletons for the following:

    • theorem
         x < > 0 implies exists y such that x * y = 1

    • theorem
         x < = y and y < = x implies x = y

    • theorem
         X meets Y U Z (the union of Y and Z) iff X meets Y or X meets Z

  2. For bonus credit, do Bonus Exercise 1.

    Bonus credit work is optional (i.e., not required).