Question: A theory T is complete if for every L - sentence , either T | = or T | = . Assume T is a

A theory T is complete if for every L-sentence , either T |= or T |=. Assume T is a satisfiable L-theory. Show the following are equivalent.
(a) T is complete.
(b) T |= Th(M) for some L-structure M.
(c) IfM|=T andN |=T,thenMN.

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