Mathematical Induction

Proof by Induction

  1. Base - Show that P(0)P(0) or P(1)P(1) or whatever the lowest possible value is.
  2. Induction Hypothesis - Assume kP(k)\forall k P(k) is true.
  3. Induction step - Show kP(k)P(k+1)\forall k P(k) \to P(k+1)
  • I really like this type of proof since its really easy to know when it needs to be applied and its pretty much straightforward