In the last version of Reloids and Funcoids online article I proved true the following conjecture:

**Theorem**

If $latex f$, $latex g$, $latex h$ are reloids then

- $latex f\circ (g\cup^{\mathsf{RLD}} h) = f\circ g \cup^{\mathsf{RLD}} f\circ h$;
- $latex (g\cup^{\mathsf{RLD}} h) \circ f = g\circ f \cup^{\mathsf{RLD}} h\circ f$.