Mazdak Farrokhzad edited Ex2.tex  over 9 years ago

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Then:  \begin{equation}  \begin{split}  & \wp{\ie{x < 0}{y > y}{big, small  := -x}{ y x, y}{big, small  := x }}{R} 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 > y  \to x = x) \wp{big, small := x, y}{R})  \a (x< 0 \to x = -x)))\\  \iff & (x < 0 \to -x = -x) \a (0  \leq x y  \to x = x)\\  \iff & \T\\ \wp{big, small := y, x}{R})\\  \end{split}  \end{equation}  Therefore:  \begin{equation}  \begin{split}Q \implies& \T \begin{split}  \end{split}  \end{equation}