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Fluid statics or hydrostatics is the branch of fluid mechanics which deals with the study of fluids at rest and the pressure exerted by it on an immersed object. If your question is about the study of fluids in motion, use the tag "fluid-dynamics" instead.
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Confusion about Hydrostatic Equilibrium
You can think about it this way- the fluid element is pushing on bottom element, so by the 3rd newtons law it feels reaction force keeping it in equilibrium. Hope this helps