Thread: Well-Ordering Principle

Show that if a and b are positive integers, then there is a smallest positive integer of the form .

Originally Posted by Aryth

Show that if a and b are positive integers, then there is a smallest positive integer of the form .

Consider the set,
Argue that the set is non-empty and choose the smallest such natural number.

That was too easy, but my professor is a very nervous person and refuses to teach... Instead all of his lectures consist of the words "Uhh" and "Umm".