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Soient \(E\) un ensemble et \(A, B, C\) trois parties de \(E\).
Montrer que \((A \cup B) \cap (B \cup C) \cap (C \cup A) =
(A \cap B) \cup (B \cap C) \cup (C \cap A)\).
Soient \(E\) un ensemble et \(A, B, C\) trois parties de \(E\).
Montrer que \((A \cup B) \cap (B \cup C) \cap (C \cup A) =
(A \cap B) \cup (B \cap C) \cup (C \cap A)\).