Question: ( 1 ) Let A be an alphabet, T 1 , T 2 subeL ( A ) be two theories closed under semantic consequence, i

(1) Let A be an alphabet, T1,T2subeL(A) be two theories closed under semantic consequence, i.e.,
any formula which is a semantic consequence of Ti must already be in Ti. Suppose T1T2 is
also closed under semantic consequence. Prove that T1subeT2 or T2subeT1.
( 1 ) Let A be an alphabet, T 1 , T 2 subeL ( A )

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