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

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

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

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