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November 4, 2010 / porton

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.
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