Problem 6)\ let

F

be an ordered field. We consider

N

to be a subset of described in the preceding exercise. Prove that

F

is Archimedian if aud only if, for each pair

x,yinF

with

x>0

, there exsists a natural number

n

such that

nx>y

.

let F be an ordered field. We consider N to be a subset of described in the preceding exercise. Prove that F is Archimedian if and only if, for each pair x,yF with x>0, there exsists a natural number n such that nx>y