Distributivity of composition over join of reloids

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

Theorem
If f, g, h are reloids then

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

Leave a Reply