def is_invalid_schema(schema, test_value):
    """
    Checks schema against tests with dictionary nesting

    >>> is_invalid_schema({"valid_key": "some_value"}, {"valid_key": "some_value"})
    False

    >>> is_invalid_schema({"invalid_key": "some_value"}, {"valid_key": "some_value"})
    True

    >>> is_invalid_schema(
    ... {"nested": {"valid_key": "some_value", "another_key": "some_value"}},
    ... {"nested": {"valid_key": "some_value"}}
    ... )
    False

    >>> is_invalid_schema(
    ... {"nested": {"invalid_key": "some_value", "another_key": "some_value"}},
    ... {"nested": {"valid_key": "some_value"}}
    ... )
    True

    >>> is_invalid_schema(
    ... {"nested": {"valid_key": "some_invalid_value", "another_key": "some_value"}},
    ... {"nested": {"valid_key": "some_value"}}
    ... )
    True

    >>> is_invalid_schema(
    ... {"nested": {"double": {"valid_key": "some_value", "another_key": "some_value"}}},
    ... {"nested": {"double": {"valid_key": "some_value"}}}
    ... )
    False

    >>> is_invalid_schema(
    ... {"nested": {"double": {"valid_key": "some_value", "another_key": "some_value"}}},
    ... {"nested": {"double": {"valid_key": "some_value"}, "some_key": "no_value"}}
    ... )
    True
    """
    if isinstance(test_value, dict):
        return any(
            is_invalid_schema(schema[k], test_value[k]) if k in schema else True
            for k in test_value.keys()
        )
    return schema != test_value