WooCommerce - Show category description

<?php
  // Show category description
  // code goes in functions.php for your child theme
  add_action( 'woocommerce_after_subcategory_title', 'show_cat_description', 12);
  function show_cat_description ($category) {
    $cat_id = $category->term_id;
    $prod_term = get_term($cat_id, 'product_cat');
    $description = $prod_term->description;
    echo '<div class="shop_cat_desc">'.$description.'</div>';
  }