reserve A,B,O for Ordinal,
        o for object,
        x,y,z for Surreal,
        n,m for Nat;
reserve d,d1,d2 for Dyadic;
reserve i,j for Integer,
        n,m,p for Nat;
reserve r,r1,r2 for Real;

theorem Th58:
  n>0 implies (uInt.n)" == uReal.(1/n)
proof
  assume
A1: n>0;
  then 0_No = uInt.0 < uInt.n by Th9,Def1;
  then
A2:not uInt.n == 0_No;
  A3:n * (1/n) =1 by A1,XCMPLX_1:106;
  uInt.n = uDyadic.n = uReal.n by Def5,Th46;
  then uInt.n *  uReal.(1/n) == uReal.1 =1_No by A3,Th57,Th48;
  hence thesis by SURREALI:42,A2;
end;
