Essential Maintenance: All Authorea-powered sites will be offline 4pm-6pm EDT Tuesday 28 May for essential maintenance.
We apologise for any inconvenience.

Mazdak Farrokhzad edited Ex 1.tex  over 9 years ago

Commit id: b1e5c9a19ebb58fda48fbfa29091cbef22810412

deletions | additions      

       

\begin{equation}  \begin{split}  & \wp{\ie{x < 0}{y := -x}{ y := x }}{R} \\  \rule{4}  \iff & \left(x < 0 \to \wp{y:= -x}{R}\right) \a \left(0 \leq x \to \wp{y:= x}{R}\right)\\ \rule{1}  \iff & (x < 0 \to (0 \leq -x \a (0 \leq x \to -x = x) \a (x < 0 \to -x = -x )))\\ \land & (x \leq 0 \to (0 \leq x \a (0 \leq x \to x = x) \a (x < 0 \to x = -x)))\\  \iff & (x < 0 \to -x = -x) \a (0 \leq x \to x = x)\\  \iff & \T\\