diff --git a/doc/tl/tl.tex b/doc/tl/tl.tex index 7b39f812a..9f5b676e9 100644 --- a/doc/tl/tl.tex +++ b/doc/tl/tl.tex @@ -752,29 +752,29 @@ The following rules are all valid with the two arguments swapped, except the one %\samp{$\FUSION$}.) \begin{align*} - f\AND f &\equiv \0& + f\AND f &\equiv f& f\ANDALT f &\equiv f & f\OR f &\equiv f \\ - \0\AND f &\equiv f & + \0\AND f &\equiv \0 & \0\ANDALT f &\equiv \0 & \0\OR f &\equiv f & \0 \FUSION f &\equiv \0 & \0 \CONCAT f &\equiv \0 \\ - \1\AND f &\equiv \NOT f& + \1\AND f &\equiv f& \1\ANDALT f &\equiv f & \1\OR f &\equiv \1 & \1 \FUSION f & \equiv f\\ \eword\AND f &\equiv f & \eword\ANDALT f &\equiv \begin{cases} - \eword \mathrlap{\text{~if~} \varepsilon\VDash f} \\ - \0 \mathrlap{\text{~if~} \varepsilon\nVDash f} \\ + \eword &\mathrlap{\text{if~} \varepsilon\VDash f} \\ + \0 &\mathrlap{\text{if~} \varepsilon\nVDash f} \\ \end{cases} & && \eword \FUSION f &\equiv \0 & \eword \CONCAT f &\equiv f\\ + b_1 \AND b_2 &\equiv b_1\ANDALT b_2 & && - b_1 \ANDALT b_2 &\equiv b_1\AND b_2 & && b:f &\stackrel{\dag}{\equiv} b\AND f\\ \end{align*}