Let $f$ be a function on a set $X$ and $*$ be a binary operation on $X$. $f$ is antidistributive over $*$ if for all $x$, $y \in X$,
\[f(x * y) = f(y) * f(x).\]
Let $f$ be a function on a set $X$ and $*$ be a binary operation on $X$. $f$ is antidistributive over $*$ if for all $x$, $y \in X$,
\[f(x * y) = f(y) * f(x).\]