23. Some x are y.

24. All y are x′.

25. Some y are x′.

26. All y are x.

27. All x are y, and all y′ are x′.

28. Some y are x′.

29. [No Concl. Fallacy of Like Eliminands not asserted to exist.]

30. Some y are x′.

31. [No Concl. Fallacy of Like Eliminands not asserted to exist.]

32. No x are y′.