Real_numbers
Real number axioms:
:Let R denote the set of real numbers, and w,x,y,z be elements of R. Then:
- The set R is a Field
- The field R is ordered i.e.
- if x >= y then x + z >= y + z
- if x >= 0 and y >= 0 then x * y >= 0
- If S is non-empty subset of R and S has an upper bound in R, then there exists some z in R that is a least upper bound for S.
Which is all very well, but what are they :)