Euklids generaliseret lemma

 hey derude... 

Jeg forstår ikke lige konklusionen af den generaliseret lemma af euclid: 

Corollary 2.1: Generalized Euclid's Lemma

The idea here is that if a prime divides a product of n elements, then it is necessarily divides at least one of those elements.

(1) Let's assume that we have a product of n elements.

a = a1 * a2 * ... * an

(2) We can take any one of these elements and get:

a = a1 * (a2 * ... * an)

(3)So, by Euclid's Lemma (see Lemma 2 above), the prime either divides a1 or one of the rest of the elements.

(4) So, either it divides a1 or a2 etc.

(5) And we get to the last two elements, we are done by Euclid's Lemma.

Hvad menes det det jeg har sskrevet med fed ? - på forhånd taaak.