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You will never make the poor richer by making the rich poorer.
Mathematically, Yes you can.
Mathematically and economically, you cannot make the poor richer by making the poor poorer.
Economically, you cannot make the rich richer by making the rich richer at the expense of the poor - not permanently; not in the long run.
If the majority of the country are poor and poverty stricken with a few at the top owning everything... roads and infrastructures will grind to a halt and crumble; defense can only afford a few gunboats to protect dirty and polluted cities and towns with full of dried up rivers and dead fishes...
Then either the population will rise up to revolt, or if the gov't is too effective at chopping heads then stronger neighbours and barbarians will just waltz in and liberate...