In this set of notes, we explore basic proof techniques, and how they can be understood by a grounding in propositional logic. We will show how to use these proof techniques with simple …

Throughout this course, you will be asked to “prove” or “show” certain facts. As such, you should know the basics of mathematical proof, which are explained in this document.

But it is very possible you have never been asked to prove a theorem on your own. In this module we introduce the basic structures involved in a mathematical proof.

There are four basic proof techniques to prove p =) q, where p is the hypothesis (or set of hypotheses) and q is the result. What follows are some simple examples of proofs. You very …

Proof by Induction Suppose we wish to prove a certain assertion concerning positive integers. Let A(n) be the assertion concerning the integer n. To prove it for all natural numbers n>=1, we …

Basic Proof Methods Direct Proof: To prove an implication P ⇒ Q, assume P and derive Q. Assume Goal

proof is an argument that demonstrates why a conclusion is true, subject to certain standards of truth. mathematical proof is an argument that demonstrates why a mathematical statement is …