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how to do mathematical induction proofs. N n n1 2. Proof by Induction Your next job is to prove mathematically that the tested property P P is true for any element in the set -- well call that random element k k -- no matter where it appears in the set of elements.
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Important notes and explanations about a proof by mathematical induction In 1 you are trying to show that the conjecture is true for specific values. This is the induction step. A proof by induction consists of two cases.
It is done in two steps.
Example 2 in fact uses PCI to prove part of the Fundamental Theorem of Arithmetic. Normally when using induction we assume that P k P k is true to prove. That is you must verify that Pa is true. This is the induction step.
