} else if (elements instanceof SortedIterable) {
      comparator2 = ((SortedIterable<?>) elements).comparator();
    } else {
      return false;
    }
    return comparator.equals(comparator2);
  }

  @SuppressWarnings("unchecked")
  // if sortedSet.comparator() is null, the set must be naturally ordered
  public static <E extends @Nullable Object> Comparator<? super E> comparator(

Ici, avec `ge=1`, `item_id` devra être un nombre entier "`g`reater than or `e`qual" à `1`.

{* ../../docs_src/path_params_numeric_validations/tutorial004_an_py39.py hl[10] *}

## Validations numériques : supérieur ou égal et inférieur ou égal

La même chose s'applique pour :

* `gt` : `g`reater `t`han
* `le` : `l`ess than or `e`qual

{* ../../docs_src/path_params_numeric_validations/tutorial004_an_py39.py hl[10] *}

  public UnhashableObject(int value) {
    this.value = value;
  }

  @Override
  public boolean equals(@Nullable Object object) {
    if (object instanceof UnhashableObject) {
      UnhashableObject that = (UnhashableObject) object;
      return this.value == that.value;
    }
    return false;
  }

  @Override
  public int hashCode() {
    throw new UnsupportedOperationException();
  }

    }

    @Override
    public boolean equals(@CheckForNull Object object) {
      if (object instanceof ConverterComposition) {
        ConverterComposition<?, ?, ?> that = (ConverterComposition<?, ?, ?>) object;
        return this.first.equals(that.first) && this.second.equals(that.second);
      }
      return false;
    }

    @Override
    public int hashCode() {

  public UnhashableObject(int value) {
    this.value = value;
  }

  @Override
  public boolean equals(@Nullable Object object) {
    if (object instanceof UnhashableObject) {
      UnhashableObject that = (UnhashableObject) object;
      return this.value == that.value;
    }
    return false;
  }

  @Override
  public int hashCode() {
    throw new UnsupportedOperationException();
  }

/**
 * Tests to see if two <code>SmbFile</code> objects are equal. Two
 * SmbFile objects are equal when they reference the same SMB
 * resource. More specifically, two <code>SmbFile</code> objects are
 * equals if their server IP addresses are equal and the canonicalized
 * representation of their URLs, minus authentication parameters, are
 * case insensitivly and lexographically equal.
 * <p/>

   * lesser. For example, {@code [] < [1.0] < [1.0, 2.0] < [2.0]}.
   *
   * <p>The returned comparator is inconsistent with {@link Object#equals(Object)} (since arrays
   * support only identity equality), but it is consistent with {@link Arrays#equals(double[],
   * double[])}.
   *
   * @since 2.0
   */
  public static Comparator<double[]> lexicographicalComparator() {

   * lesser. For example, {@code [] < [1.0f] < [1.0f, 2.0f] < [2.0f]}.
   *
   * <p>The returned comparator is inconsistent with {@link Object#equals(Object)} (since arrays
   * support only identity equality), but it is consistent with {@link Arrays#equals(float[],
   * float[])}.
   *
   * @since 2.0
   */
  public static Comparator<float[]> lexicographicalComparator() {

   * lesser. For example, {@code [] < [1.0f] < [1.0f, 2.0f] < [2.0f]}.
   *
   * <p>The returned comparator is inconsistent with {@link Object#equals(Object)} (since arrays
   * support only identity equality), but it is consistent with {@link Arrays#equals(float[],
   * float[])}.
   *
   * @since 2.0
   */
  public static Comparator<float[]> lexicographicalComparator() {

    successor(a, b);
    successor(b, c);
  }

  /*
   * TODO(jlevy): Decide whether entrySet() should return entries with an equals() method that
   * calls the comparator to compare the two keys. If that change is made,
   * AbstractMultiset.equals() can simply check whether two multisets have equal entry sets.
   */

  /**
   * @serialData the comparator, the number of distinct elements, the first element, its count, the