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November 1, 2010 / porton

A monovalued reloid with atomic domain is atomic

In the last revision of Funcoids and Reloids online article I proved that every monovalued reloid with atomic domain is atomic.

Consequently two following conjectures are proved true:

Conjecture A monovalued reloid restricted to an atomic filter object is atomic or empty.

Conjecture A (monovalued) function restricted to an atomic filter object is atomic or empty.

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