5.532 And analogously: not “(∃x, y) . f(x, y) . x = y, but “(∃x) . f(x, x)”; and not “(∃x, y) . f(x, y) . ~x = y but “(∃x, y) . f(x, y)”.

(Therefore instead of Russell’s “(∃x, y) . f(x, y)”: “(∃x, y) . f(x, y) . ∨ . (∃x) . f(x, x)”.)