axiom sequence
We will assume there is a set of R +, which is referred to as a positive number that is a subset of R. Let also x and y are members of R +. Satisfies axiom subsets following sequence: [2]
Axiom 7: x + y and xy is a member of R +
Axiom 8: For each x is not equal to 0, x members of R + or R +-x members, but not be both at once
Axiom 9: 0 is not a member of R +.
axiom completeness
Axiom 10: Every set of real numbers S that have an upper limit has a supremum, ie, there is a real number B so that B = sup (S).
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