Arrangement properties of real numbers

Arrangement properties of real numbers

Category. Axioms of arrangement

B. Upper and lower bound, the supreme, The lowest

C. completeness axiom

Every nonempty subset of R that is bounded above has a supremum.

D. Axiom of Archimedes

For two positive real numbers a, b there is always a natural number n, so that n a > b.

E. Rules for inequalities

F. amount