// 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());
      }

    // 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() {

        // Different input
        assertFalse(item1.equals(item3));

        // Same id and input
        assertTrue(item1.equals(item4));

        // Null object
        assertFalse(item1.equals(null));

        // Different class
        assertFalse(item1.equals("word"));

        // Symmetry
        assertTrue(item1.equals(item2));
        assertTrue(item2.equals(item1));
    }

        assertTrue(item1.equals(item3));

        // Different input value
        assertFalse(item1.equals(item4));

        // Null and different class
        assertFalse(item1.equals(null));
        assertFalse(item1.equals("string"));
        assertFalse(item1.equals(new Object()));
    }

    @Test
    public void test_equals_withNewInput() {

      this.delegateString = delegateString;
      this.onHashCode = onHashCode;
      this.onEquals = onEquals;
      this.onCompareTo = onCompareTo;
    }

    @Override
    public int hashCode() {
      onHashCode.run();
      return delegateString.hashCode();
    }

    @Override
    public boolean equals(@Nullable Object other) {
      onEquals.run();

    assertFalse(control("foo", 1).equals(entry("foo", 2)));
    assertFalse(entry("foo", 1).equals(control("bar", 1)));
    assertFalse(entry("foo", 1).equals(new Object()));
    assertFalse(entry("foo", 1).equals(null));
  }

  public void testEqualsNull() {
    assertEquals(control(NE, 1), entry(NE, 1));
    assertFalse(control(NE, 1).equals(entry(NE, 2)));
    assertFalse(entry(NE, 1).equals(control("bar", 1)));

        // Two items with same inputs and null output should be equal
        assertTrue(item1.equals(item2));

        // Item with null output should not equal item with non-null output
        assertFalse(item3.equals(item1));
        assertFalse(item1.equals(item3));

        // Item with null output should not equal item with different inputs

    assertFalse(control("foo", 1).equals(entry("foo", 2)));
    assertFalse(entry("foo", 1).equals(control("bar", 1)));
    assertFalse(entry("foo", 1).equals(new Object()));
    assertFalse(entry("foo", 1).equals(null));
  }

  public void testEqualsNull() {
    assertEquals(control(NE, 1), entry(NE, 1));
    assertFalse(control(NE, 1).equals(entry(NE, 2)));
    assertFalse(entry(NE, 1).equals(control("bar", 1)));

    }

    @Override
    public boolean equals(@Nullable Object obj) {
      // In general getClass().isInstance() is bad for equals.
      // But here we fully control the subclasses to ensure symmetry.
      if (getClass().isInstance(obj)) {
        Wrapper that = (Wrapper) obj;
        return wrapped.equals(that.wrapped);
      }
      return false;
    }

    @Override

   * {@code C}:
   *
   * <ul>
   *   <li>If {@code C} explicitly implements {@link Object#equals}, the deserialized instance will
   *       be checked to be equal to the instance before serialization.
   *   <li>If {@code C} doesn't explicitly implement {@code equals} but instead inherits it from a
   *       superclass, no equality check is done on the deserialized instance because it's not clear