title: How to do logical tests for all list elements in mathematica
body: <p>I have a list and I want to apply a logical test to each element, and if any one of them does not satisfy this condition, then return false. I want to write this in Mathematica or find a built-in function, but seems <code>ForAll</code> does not actually do that. </p>
  
  <p>My question is: how to do this most efficiently?</p>
  
  <p>Bonus: how about similarly for <code>Exists</code> function: i.e. if there is any element in the list satisfy the condition, return true.</p>