  We adapt the "royal road" method used to simplify automatic analyticity
theorems in noncommutative function theory to several complex variables. We
show that certain families of functions must be real analytic if they have
certain nice properties on one dimensional slices. Let $E \subset \mathbb{R}^d$
be open. A function $f:E \to \mathbb{R}$ is matrix monotone lite if
$f(\varphi_1(t), \ldots, \varphi_d(t))$ is a matrix monotone function of $t$
whenever $t \in (0,1)$, the $\varphi_i$ are automorphisms of the upper half
plane, and the tuple $(\varphi_1(t), \ldots, \varphi_d(t))$ maps $(0,1)$ into
$E$. We use the "royal road" to show that a function is matrix monotone lite if
and only if it analytically continues to the multi-variate upper half plane as
a map into the upper half plane. Moreover, matrix monotone lite functions in
two variables are locally matrix monotone in the sense of Agler-McCarthy-Young.
