This technique is used on equations with n in them. Induction
techniques are very popular, even the military used them.
SAMPLE: Proof of induction without proof of induction.
We know it's true for n equal to 1. Now assume that it's true
for every natural number less than n. N is arbitrary, so we can take n
as large as we want. If n is sufficiently large, the case of n+1 is
trivially equivalent, so the only important n are n less than n. We
can take n = n (from above), so it's true for n+1 because it's just
about n.
QED. (QED translates from the Latin as So what?)
