// We already know that nodeU equals other.nodeU. Combined with the earlier statement,
        // and the transitive property of equality, this implies that nodeU equals nodeV.
        // If nodeU equals nodeV, condition1 == condition2, so checking condition1 is sufficient.
        return nodeV().equals(other.nodeV());
      }

  }

  @Override
  public boolean equals(@CheckForNull Object obj) {
    if (obj == this) {
      return true;
    }
    if (obj instanceof FunctionalEquivalence) {
      FunctionalEquivalence<?, ?> that = (FunctionalEquivalence<?, ?>) obj;
      return function.equals(that.function) && resultEquivalence.equals(that.resultEquivalence);
    }
    return false;
  }

  @Override

      assertTrue(item + " must not be Object#equals to null", !item.equals(null));
      assertTrue(
          item + " must not be Object#equals to an arbitrary object of another class",
          !item.equals(NotAnInstance.EQUAL_TO_NOTHING));
      assertTrue(item + " must be Object#equals to itself", item.equals(item));
      assertEquals(

      throws Throwable {
    if (args == null) {
      args = NO_ARGS;
    }
    if (args.length == 0 && method.getName().equals("hashCode")) {
      return hashCode();
    }
    if (args.length == 1
        && method.getName().equals("equals")
        && method.getParameterTypes()[0] == Object.class) {
      Object arg = args[0];
      if (arg == null) {
        return false;
      }

        // [groupId]:artifactId
        if (selector.contains(":")) {
            String id = ':' + project.getArtifactId();

            if (id.equals(selector)) {
                return true;
            }

            id = project.getGroupId() + id;

            return id.equals(selector);
        }

        // relative path, e.g. "sub", "../sub" or "."
        else if (reactorDirectory != null) {

    // Explicitly call `equals`; `assertEquals` might return fast
    assertTrue(foo1.equals(foo1));
    assertEquals(control("foo", 1), foo1);
    assertEquals(control("bar", 2), entry("bar", 2));
    assertFalse(control("foo", 1).equals(entry("foo", 2)));
    assertFalse(foo1.equals(control("bar", 1)));
    assertFalse(foo1.equals(new Object()));
    assertFalse(foo1.equals(null));
  }

  public void testEqualsNull() {

      throws Throwable {
    if (args == null) {
      args = NO_ARGS;
    }
    if (args.length == 0 && method.getName().equals("hashCode")) {
      return hashCode();
    }
    if (args.length == 1
        && method.getName().equals("equals")
        && method.getParameterTypes()[0] == Object.class) {
      Object arg = args[0];
      if (arg == null) {
        return false;
      }

      // filter out equals/hashCode/toString
      if (method.getName().equals("equals")
          && method.getParameterTypes().length == 1
          && method.getParameterTypes()[0] == Object.class) {
        continue;
      }
      if (method.getName().equals("hashCode") && method.getParameterTypes().length == 0) {
        continue;
      }

        } catch (MalformedURLException e) {
            // bad url just skip it here. It should have been validated already, but the wagon lookup will deal with it
            return false;
        }
    }

    private static boolean isLocal(String host) {
        return "localhost".equals(host) || "127.0.0.1".equals(host);
    }

    /**

    private static final String REVISION_PROPERTY = "revision";

    @Override
    public boolean isValidProperty(String property) {
        return REVISION_PROPERTY.equals(property)
                || CHANGELIST_PROPERTY.equals(property)
                || SHA1_PROPERTY.equals(property);
    }

    @Override
    public void overwriteModelProperties(Properties modelProperties, ModelBuildingRequest request) {