Bootstrap-3.1: if have col-xs-3 only these propagates to other sizes eg col-lg-3?

Bootstrap has four types of class prefixes for creating columns for different size displays:

  1. col-xs for extra small displays (screen width < 768px)
  2. col-sm for smaller displays (screen width ≥ 768px)
  3. col-md for medium displays (screen width ≥ 992px)
  4. col-lg for larger displays (screen width ≥ 1200px)
<div class="col-xs-3">

bootstrap-3.1: if have col-xs-3 only these propagates to other sizes eg col-lg-3?