reserve n for non zero Nat,
  j,k,l,m for Nat,
  g,h,i for Integer;

theorem
  j > 2 to_power m implies MajP(m, j) > m
proof
  assume
A1: j > 2 to_power m;
  2 to_power MajP(m, j) >= j by Def1;
  then 2 to_power MajP(m, j) > 2 to_power m by A1,XXREAL_0:2;
  hence thesis by PRE_FF:8;
end;
