There are some premise-by-premise reconstructions in political philosophy which are flawed, because they omit at least one premise or misword at least one premise. This paper focuses on a reconstruction by Richard Child. The original argument is by Andrea Sangiovanni and is about whether egalitarian values of distributive justice apply both within a state and globally. Child’s reconstruction has been reproduced in a paper by Ian Davis, who approves of it. But I point out five logical problems with the reconstruction.