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Má tato relace vlastnosti ekvivalence?<br />

Právě definovanou relaci budeme označovat<br />

A ~ B .<br />

Je reflexivní, symetrická a tranzitivní?<br />

Umíme dokázat, že platí tyto formule?<br />

(∀A) A ~ A<br />

(∀A,B) A ~ B ⇒ B ~ A<br />

(∀A,B,C) A ~ B ∧ B ~ C ⇒ A ~ C<br />

Relace A ~ B má vlastnosti ekvivalence.

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