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I earlier proclaimed that I positively solved this conjecture:

Conjecture $f\cap^{\mathsf{FCD}} g = f\cap g$ for every binary relations $f$ and $g$.

There were error in my proof and I deleted it. See the draft of Funcoids and Reloids article for details on the current state of the problem.

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1. porton / Jun 9 2010 16:34

A counter-example for this conjecture appears in the appendix “Some counter-examples” of the last version of Funcoids and Reloids article.