1.23

f(x)={x/y,if y0 and y  x,,else. f(x) = \left\{\begin{array}{ll} x / y, & \text{if } y \neq 0 \text{ and } y~|~x,\\ \uparrow, & \text{else.} \end{array}\right. 证明:fRFf \in \mathcal{RF}

证明

f(x)=μz.(zy=x) and (y0)=μz.(x¨zy)Ny f(x) = \mu z. (zy =x) \text{ and } (y \neq 0) = \mu z.(x \ddot{-}zy)\cdot Ny