Example Two

$\displaystyle \langle x \leq 0 \rangle \; x := -x \; \langle x \geq 0 \rangle $

is correct, since replacing $ x$ by $ E = -x$ in $ (x \geq 0)$ gives $ (-x \geq 0)$ which is logically equivalent to $ (x \leq 0)$

David Goodwin 2008-09-20