WordPress list posts that are in two different taxonomies

wp_multi_tax_query.php

<?php 
// NOTE: replace the values of these variables with custom taxonomies
$multi_term1 = 'taxonomy_term1';
$multi_term2 = 'taxonomy_term2';

// get all terms for taxonomy1
$multi1_terms = get_terms($multi_term1);
     foreach ( $multi1_terms as $multi1_term ) {
       $multi1_term1slugs[]= $multi1_term->slug;
     }

// get all terms for taxonomy2
$multi2_terms = get_terms($multi_term2);
     foreach ( $multi2_terms as $multi2_term ) {
       $multi2_term2slugs[]= $multi2_term->slug;
     }

// $multi_tax_query args
$query_multi['posts_per_page'] = 10;
$query_multi['tax_query'] = array(
    'relation' => 'AND',
    array(
        'taxonomy' => $multi_term1,
        'terms' => $multi2_term1slugs,
        'field' => 'slug'

    ),
    array(
        'taxonomy' => $multi_term2,
        'terms' => $multi2_term2slugs,
        'field' => 'slug'


    ),
);

// find posts that contain both of the two taxonomies
$multi_tax_query = new WP_Query( $query_multi );


// output in list
echo '<ul id="tax2-list">';
        while ( $multi_tax_query->have_posts() ) : $multi_tax_query->the_post();
     echo '<li><a href="';
     the_permalink();
     echo '">';
     the_title();
     echo '</a></li>';
     continue;
endwhile;
  echo '</ul>';