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4. Show that the following are equivalent for ∆ ⊆ P rop(A): (i) ∆ is complete;...

4. Show that the following are equivalent for ∆ ⊆ P rop(A):

(i) ∆ is complete; and

(ii) for all p ∈ P rop(A), if ∆ ∪ {p} is consistent, then ∆|− p.

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