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6. Prove each of the remaining iden- tities in table 4.1 using an element argument. Table 4.1. Set Identities Here S,T,W are any sets: is the empy set; and U is the universal set. Identity Double Complement Associative Law Su = S (S)-S Su (TW) = ( ST) W SAUS Complement Sn ( TW) = ( ST) W Domination SS= De Morgan's Law Sn- SUSU ST-SUT SUU-U Commutative Law SUT-ST Idempotent Laws SUT-TUS Absorption SUS-S SoT -Tos SU ( ST) - S SAS-S So ( ST) = S Distributive Law Su ( TW) = ( ST) (SW) S T U W) = ( ST) U ( SW)