let j, k, m be Nat; ( j >= k implies MajP m,j >= MajP m,k )
assume A1:
j >= k
; MajP m,j >= MajP m,k
A2:
MajP m,j >= m
by Def1;
2 to_power (MajP m,j) >= j
by Def1;
then
2 to_power (MajP m,j) >= k
by A1, XXREAL_0:2;
hence
MajP m,j >= MajP m,k
by A2, Def1; verum