The question came up during play yesterday. If you complete the Kremlin and have the most military strength at that point you gain four stability. Do you lose the stability again the moment someone surpasses you in military strength? We played that you do but weren't sure as there isn't a phase specified to check this (like with Augustus for instance).
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You lose it at any moment when the condition is not satisfied, same as with several other wonders and advisors that depend on for example not having the least Strength or Stability, and are lost if you are.