Question: Question: Suppose that is a set of (Boolean) formulas and A and B are two (Boolean) formulas. (a) Show that if |- A B, then
Question:Suppose that is a set of (Boolean) formulas and A and B are two (Boolean) formulas.
(a) Show that if |- A B, then |- A and |- B
.
(b) Is it true that that |- AB, then |- A or |- B?
If yes, then give a (meta)proof.
If no, then give a counterexample for appropriately chosen ,A,B
Im not sure how to give a "metaproof", dont understand what that means, if i could get an example or an explanation that would be helpful
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