বিনিময় বিধি

1. \( A \cup B = B \cup A \)
2. \( A \cap B = B \cap A \)

সংযোগবিধি

1. \( (A \cup B) \cup C = A \cup (B \cup C) \)
2. \( (A \cap B) \cap C = A \cap (B \cap C) \)

বণ্টনবিধি

1. \( A \cup (B \cap C) = (A \cup B) \cap (A \cup C) \)
2. \( A \cap (B \cup C) = (A \cap B) \cup (A \cap C) \)

ডি মরগ্যানের সূত্র

1. \( (A \cup B)' = A' \cap B' \)
2. \( (A \cap B)' = A' \cup B' \)

অন্যান্য সূত্র

1. \( A \cup A = A, \qquad A \cap A = A \)
2. \( A \cup \varnothing = A, \qquad A \cap \varnothing = \varnothing \)
3. \( A \cup U = U, \qquad A \cap U = A \)
4. \( A \subseteq B \implies B' \subseteq A' \)
5. \( A \subseteq B \implies A \cup B = B \)
6. \( A \subseteq B \implies A \cap B = A \)
7. \( A \subseteq A \cup B \)
8. \( A \cap B \subseteq A \)
9. \( A \setminus B = A \cap B' \)