Sub category in current cat Woocommerce

<?php
  $taxonomy     = 'product_cat';
  $orderby      = 'name';
  $show_count   = 0;
  $pad_counts   = 0;
  $hierarchical = 1;
  $title        = '';
  $empty        = 0;
  $cat_id = get_queried_object_id();
$args = array(
    'taxonomy'     => $taxonomy,
    'orderby'      => $orderby,
    'show_count'   => $show_count,
    'pad_counts'   => $pad_counts,
    'hierarchical' => $hierarchical,
    'title_li'     => $title,
    'hide_empty'   => $empty
);
?>
<?php $all_categories = get_categories( $args );
//print_r($all_categories);
foreach ($all_categories as $cat) {
    //print_r($cat);
    if($cat->category_parent == 0) {
        $category_id = $cat->term_id;

        ?>

        <?php

        //echo '<br /><a href="'. get_term_link($cat->slug, 'product_cat') .'">'. $cat->name .'</a>'; ?>


        <?php
        $args2 = array(
            'taxonomy'     => $taxonomy,
            'child_of'     => 0,
            'parent'       => $cat_id,
            'orderby'      => $orderby,
            'show_count'   => $show_count,
            'pad_counts'   => $pad_counts,
            'hierarchical' => $hierarchical,
            'title_li'     => $title,
            'hide_empty'   => $empty
        );
        $sub_cats = get_categories( $args2 );
        if($sub_cats) {
            foreach($sub_cats as $sub_category) {
                echo $sub_category->name;
            }
            break;

        } ?>

    <?php }
}
?>