src/HOL/Real/RealInt.thy

renamings: real_of_nat, real_of_int -> (overloaded) real
inf_close -> approx
SReal -> Reals
SNat -> Nats

(*  Title:       RealInt.thy
    ID:         $Id$
    Author:      Jacques D. Fleuriot
    Copyright:   1999 University of Edinburgh
    Description: Embedding the integers in the reals
*)

RealInt = RealOrd +

defs 
  (*overloaded*)
  real_of_int_def
   "real z == Abs_REAL(UN (i,j): Rep_Integ z. realrel ``
		       {(preal_of_prat(prat_of_pnat(pnat_of_nat i)),
			 preal_of_prat(prat_of_pnat(pnat_of_nat j)))})"

end