Question

if c = (x:x is a non negative real number) then
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Answer 1

Answer:

If x is a vector in an inner product space, then the norm (length) of x

Answer 2

Answer:

The other two answers both claim this result is specific to real numbers. It actually holds in any ordered ring, including the hyperreals or what have you.

We’re given that x is not negative, so it must be either positive or 0. If x were positive then it would be less than itself, since it’s less than every positive number, which is contradictory. Hence x=0 .

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