title: De Morgan's Law
body: <p>I am trying to simplify the following using DeMorgan's Law: ! (x!=0 || y !=0)</p>
  
  <p>Does x!=0 simplify to x>0? Or am I wrong in the following:</p>
  
  <pre><code> !(x&gt;0 || y&gt;0)
   !(x&gt;0) &amp;&amp; !(y&gt;0)
   ((x&lt;=0) &amp;&amp; (y&lt;=0))
  </code></pre>
  
  <p>Thanks.</p>