Template:MT book:statements:Proposition1.1.1

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Revision as of 11:32, 7 November 2007 by imported>Bunder (New page: A class <math>\mathcal{A} \subseteq \mathcal{P}(X)</math> is an algebra if and only if <math>\mathcal{A}</math> satisfies : # <math>X \in \mathcal{A}</math> # <math>\forall A \in \mathcal...)
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A class ๐’œ⊆๐’ซ(X) is an algebra if and only if ๐’œ satisfies :

  1. X∈๐’œ
  2. ∀A∈๐’œ⇒Ac∈๐’œ
  3. ∀A,B∈๐’œ⇒A∩B∈๐’œ
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