equation1

A = B implies that A union C is equal to B union C

<math xmlns="http://www.w3.org/1998/Math/MathML">
  <apply>
    <csymbol cd="logic1">implies</csymbol>
    <apply>
      <csymbol cd="relation1">eq</csymbol>
      <ci>A</ci>
      <ci>B</ci>
    </apply>
    <apply>
      <csymbol cd="relation1">eq</csymbol>
      <apply>
        <csymbol cd="set1">union</csymbol>
        <ci>A</ci>
        <ci>C</ci>
      </apply>
      <apply>
        <csymbol cd="set1">union</csymbol>
        <ci>B</ci>
        <ci>C</ci>
      </apply>
    </apply>
  </apply>
</math>

Author: Design Science, Inc. (E. Cannon, E. Tabacman, R.Miner)