I was just thinking that we don't yet define a Rationals or Floats Set but 
they could be

Rationals = imageset((x, y), x/y, S.Integers*S.Naturals)
Floats = imageset((x, y), x/2**y, S.Integers, S.Integers)

Containment order would be

Reals contain Rationals contain Floats contain Integers contain Naturals0 
contain Naturals

Would there be any advantages to having these defined?

/c

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