Well Ordering Principle

Basically, the Well Ordering Principle or Well-ordering theorem is a term in Math that within a set of positive integers, there are is a least element, which is self-explanatory for it is the number that is the least in value. this principle turns out to be logically equivalent to the mathematical induction, the fifth axiom of Peano, which is quite surprising. If mathematical induction is true for all natural numbers, then so is the well-ordering principle. Basically, the well-ordering principle can be proved with the mathematical induction. Ultimately, both imply each other to work because they are based on the same type of logic.
Here is an the proof of well-ordering principle according to mathematical induction: the http://www.math.wustl.edu/~chi/310notesIV.pdf