
theorem Th8: :: Odd102
  for n being odd Nat st n<=6 holds n=1 or n=3 or n=5
proof
  let n be odd Nat such that
A1: n<=6;
  n<>2*3;
  then n<5+1 by A1,XXREAL_0:1;
  then
A2: n<=5 by NAT_1:13;
  per cases by A2,XXREAL_0:1;
  suppose
    n=5;
    hence thesis;
  end;
  suppose
    n<4+1;
    then n<=4 by NAT_1:13;
    hence thesis by Th7;
  end;
end;
