Leyes de Conjuntos

Question	Answer
Doble Complemento (DC)	\[ \overline{A} = A \]
De Morgan (DM)	\[ \overline{A \cup B} = \overline{A} \cap \overline{B} \\ \overline{A \cap B} = \overline{A} \cup \overline{B} \]
Conmutatividad (Con.)	\[ A \cup B = B \cup A \\ A \cap B = B \cap A \]
Asociativa (Aso.)	\[ (A \cup B) \cup C = A \cup (B \cup C) \\ (A \cap B) \cap C = A \cap (B \cap C) \]
Distributiva (Dis.)	\[ A \cup (B \cap C) = (A \cup B) \cap (A \cup B) \\ A \cap (B \cup C) = (A \cap B) \cup (A \cap B) \]
Idempotencia (Ide.)	\[ A \cup A = A \\ A \cap A = A \]
Neutro (Ne.)	\[ A \cup \varnothing = A \\ A \cap U = A \]
Inversos (Inv.)	\[ A \cup \overline{A} = U \\ A \cap \overline{A} = \varnothing \]
Dominación (Dom.)	\[ A \cap \varnothing = \varnothing \\ A \cup U = U \]
Absorción (Abs.)	\[ A \cup (A \cap B) = A \\ A \cap (A \cup B) = A \]

Resource summary

	Created by Freddy Ulate Agüero over 9 years ago