Display All Products by Category with WooCommerce

With WooCommerce, I want to display all the categories in a store as headings, with all of their products listed below in an unordered list. Is this possible to do? I’ve seen a few things that’ll let me display a list of categories or a list of products for a specific category, but nothing that’ll loop through everything the way I described.

Here’s what I’m currently using to list all categories:

<?php
$args = array(
    'number'     => $number,
    'orderby'    => $orderby,
    'order'      => $order,
    'hide_empty' => $hide_empty,
    'include'    => $ids
);
$product_categories = get_terms( 'product_cat', $args );
$count = count($product_categories);
if ( $count > 0 ){
    foreach ( $product_categories as $product_category ) {
        echo '<h4><a href="' . get_term_link( $product_category ) . '">' . $product_category->name . '</h4>';
    }
}
?> 

Figured it out! The code below automatically lists all categories and each categories posts!

$args = array(
    'number'     => $number,
    'orderby'    => 'title',
    'order'      => 'ASC',
    'hide_empty' => $hide_empty,
    'include'    => $ids
);
$product_categories = get_terms( 'product_cat', $args );
$count = count($product_categories);
if ( $count > 0 ){
    foreach ( $product_categories as $product_category ) {
        echo '<h4><a href="' . get_term_link( $product_category ) . '">' . $product_category->name . '</a></h4>';
        $args = array(
            'posts_per_page' => -1,
            'tax_query' => array(
                'relation' => 'AND',
                array(
                    'taxonomy' => 'product_cat',
                    'field' => 'slug',
                    // 'terms' => 'white-wines'
                    'terms' => $product_category->slug
                )
            ),
            'post_type' => 'product',
            'orderby' => 'title,'
        );
        $products = new WP_Query( $args );
        echo "<ul>";
        while ( $products->have_posts() ) {
            $products->the_post();
            ?>
                <li>
                    <a href="<?php the_permalink(); ?>">
                        <?php the_title(); ?>
                    </a>
                </li>
            <?php
        }
        echo "</ul>";
    }
}