Hi again, another question I am having trouble starting:

Let be a nonempty subset of such that:

and .

Show that for some .

Please no full solutions, but if someone could show me how to proceed (Nod)

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- August 24th 2010, 01:39 PMnzmathmanA sets proof
Hi again, another question I am having trouble starting:

Let be a nonempty subset of such that:

and .

Show that for some .

Please no full solutions, but if someone could show me how to proceed (Nod) - August 24th 2010, 06:50 PMtonio
- August 25th 2010, 01:39 AMnzmathman
- August 25th 2010, 03:47 AMemakarovQuote:

I know why a minimal element of I exists, but why can we conclude a minimal positive element exists?

To prove that there is a minimal positive element, it is sufficient to know that there is any positive element. This is natural numbers we are talking about (Bigsmile)

Quote:

Also, how would I apply Euclidean algorithm to something this abstract?